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Recent questions and answers in Linear Algebra
+3
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1
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1
GATE CE 2005 linear algebra
Consider the system of linear equations A(n*n)X(n*1) = λ(n*1) where λ is a scalar. Let (λi , Xi) be an eigen pair of an eigen value and its corresponding eigen vector for a real matrix A. Let I be a n*n unit matrix. Which one of the following ... A's inverse ) , then mod(λi)=1 for all i. (D) if (A's transpose = A) , then λi is real for all i
answered
1 day
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Linear Algebra
by
Nairit
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51
points)

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engineeringmathematics
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linearalgebra
gate2005
0
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2
GATE98 ([CE])
Find the real symmetric matrix C corresponding to quadratic form Q =4X1X2  5X2X2. I am having a problem with this question because here the variables are like X1X2 and not simply X1 and X2. How to solve this type of problems?
asked
2 days
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Linear Algebra
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Nairit
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51
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14
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engineeringmathematics
linearalgebra
+1
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2
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3
GATE 2018 Maths  29 (Chemical Engineering)
answered
2 days
ago
in
Linear Algebra
by
Nairit
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51
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42
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gate2018
engineeringmathematics
matrices
0
votes
1
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4
GATE 2018 Maths  44(Electrical Engineering)
answered
3 days
ago
in
Linear Algebra
by
ankitgupta.1729
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71
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gate2018
engineeringmathematics
linearalgebra
easy
0
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1
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5
gatebook
answered
Feb 17
in
Linear Algebra
by
Kaifi7
Junior
(
707
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125
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testseries
+5
votes
4
answers
6
GATE201817
Consider a matrix $A= uv^T$ where $u=\begin{pmatrix}1 \\ 2 \end{pmatrix} , v = \begin{pmatrix}1 \\1 \end{pmatrix}$. Note that $v^T$ denotes the transpose of $v$. The largest eigenvalue of $A$ is ____
answered
Feb 14
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Linear Algebra
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smsubham
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5.6k
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880
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gate2018
linearalgebra
eigenvalue
normal
numericalanswers
+5
votes
1
answer
7
GATE201826
Consider a matrix P whose only eigenvectors are the multiples of $\begin{bmatrix} 1 \\ 4 \end{bmatrix}$. Consider the following statements. P does not have an inverse P has a repeated eigenvalue P cannot be diagonalized Which one of ... are necessarily true Only II is necessarily true Only I and II are necessarily true Only II and III are necessarily true
answered
Feb 14
in
Linear Algebra
by
Prashant.
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60.4k
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1.1k
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gate2018
linearalgebra
matrices
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0
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8
ISRO 2010ECE Continuity in functions
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Feb 14
in
Linear Algebra
by
manohar
(
11
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64
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isro
isroece
engineeringmathematics
0
votes
2
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9
ISRODEC201717
If $C$ is a skewsymmetric matrix of order $n$ and $X$ is $n\times 1$ column matrix, then $X{^T} CX$ is a scalar matrix null matrix unit matrix matrix will all elements $1$
answered
Feb 8
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Linear Algebra
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habedo007
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199
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isrodec2017
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10
Eigen Vectors
I'm getting 2
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Feb 1
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Linear Algebra
by
Pawan Kumar 2
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5.1k
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74
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linearalgebra
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0
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11
Matrix
asked
Jan 31
in
Linear Algebra
by
srestha
Veteran
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81.5k
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63
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matrices
engineeringmathematics
eigenvalue
+1
vote
1
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12
ME test series
The value of the expression 1388 (mod 19), in the range 0 to 18, is ________.
answered
Jan 27
in
Linear Algebra
by
Avdhesh Singh Rana
Loyal
(
3.4k
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110
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madeeasytestseries
+5
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1
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13
Made easy books GATE  2015( IN ) 1 mark
answered
Jan 26
in
Linear Algebra
by
severustux
(
113
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85
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normal
+1
vote
1
answer
14
Madeeasy test series
The value of expression 385 (mod 17) in the range of 0 to 16
answered
Jan 26
in
Linear Algebra
by
Rishabh24Mishra
(
243
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63
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+5
votes
1
answer
15
Eigen value
[closed]
answered
Jan 26
in
Linear Algebra
by
R. Chinnapparaj
(
21
points)

99
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engineeringmathematics
linearalgebra
matrix
eigenvalue
0
votes
2
answers
16
find determinent
answered
Jan 26
in
Linear Algebra
by
R. Chinnapparaj
(
21
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153
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matr
matrices
+1
vote
1
answer
17
Test Series
How to solve such questions? Is there easy method? Because trial and error doesn't work.
answered
Jan 24
in
Linear Algebra
by
shriram s 1
(
481
points)

70
views
+23
votes
3
answers
18
GATE2016204
Consider the system, each consisting of $m$ linear equations in $n$ variables. If $m < n$, then all such systems have a solution. If $m > n$, then none of these systems has a solution. If $m = n$, then there exists a system which has a ... is CORRECT? $I, II$ and $III$ are true. Only $II$ and $III$ are true. Only $III$ is true. None of them is true.
answered
Jan 24
in
Linear Algebra
by
Manis
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1.2k
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2.3k
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gate20162
linearalgebra
systemofequations
normal
+12
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4
answers
19
GATE1998_2.2
Consider the following determinant $\Delta = \begin{vmatrix} 1 & a & bc \\ 1 & b & ca \\ 1 & C & ab \end{vmatrix}$ Which of the following is a factor of $\Delta$? a+b ab a+b+c abc
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Jan 22
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Linear Algebra
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Pronomita Dey 1
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10.1k
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851
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gate1998
linearalgebra
matrices
normal
+12
votes
4
answers
20
GATE20001.3
The determinant of the matrix $$\begin{bmatrix}2 &0 &0 &0 \\ 8& 1& 7& 2\\ 2& 0&2 &0 \\ 9&0 & 6 & 1 \end{bmatrix}$$ 4 0 15 20
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Jan 22
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Linear Algebra
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Pronomita Dey 1
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10.1k
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605
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gate2000
linearalgebra
easy
determinant
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1
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21
matrix linearly independent and orthogonal
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Jan 21
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Linear Algebra
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56
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linearalgebra
+6
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1
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22
matrix to det
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Jan 21
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32
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engineeringmathematics
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23
Ravula Test Series
The number of distinct eigen values of the matrix
answered
Jan 19
in
Linear Algebra
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Neeraj Chandrakar
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106
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eigenvalue
+1
vote
1
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24
Recuurence
Shouldn't the characteristic equation be (1)... But they have given (2) ... kindly help ... thanks
answered
Jan 18
in
Linear Algebra
by
sumit goyal 1
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14.7k
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51
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recurrencerelation
+16
votes
3
answers
25
GATE20152_27
Perform the following operations on the matrix $\begin{bmatrix} 3 & 4 & 45 \\ 7 & 9 & 105 \\ 13 & 2 & 195 \end{bmatrix}$ Add the third row to the second row Subtract the third column from the first column. The determinant of the resultant matrix is _____.
answered
Jan 17
in
Linear Algebra
by
Himanshu Malviya 1
(
21
points)

1.2k
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gate20152
linearalgebra
matrices
easy
numericalanswers
+1
vote
2
answers
26
LU decomposition
Given the system of linear equations: $4y\ +\ 3z\ =\ 8\\ 2x\ \ z\ =\ 2\\ 3x\ +\ 2y\ =\ 5$ Find L & U.
answered
Jan 17
in
Linear Algebra
by
hem chandra joshi
Boss
(
5.1k
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183
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linearalgebra
matrices
engineeringmathematics
+5
votes
2
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27
LU decomposition
answered
Jan 17
in
Linear Algebra
by
hem chandra joshi
Boss
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5.1k
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67
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linearalgebra
matrices
+1
vote
0
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28
ACE test series
Answer is given as A but how B is false?
asked
Jan 16
in
Linear Algebra
by
Abhinav Gupta
(
431
points)

30
views
+1
vote
0
answers
29
Test Series
Which of the following is the eigen vector of the matrix ( Marks: 0.66 ) (1,1,0) (1,1,1) (0,1,1) (0,0,1) Plz explain in detail.
asked
Jan 14
in
Linear Algebra
by
ankit_thawal
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(
2.5k
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75
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eigenvalue
+1
vote
0
answers
30
Test Series ACE
How to solve? ________________ Number of nonnegative integer solutions such that x+y+z=17 where x>1,y>2,z>3 is 
asked
Jan 13
in
Linear Algebra
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ankit_thawal
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2.5k
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61
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systemofequations
+4
votes
1
answer
31
largest eigen value
answered
Jan 13
in
Linear Algebra
by
MiNiPanda
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5.7k
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50
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engineeringmathematics
eigenvalue
+1
vote
1
answer
32
Matrix
Given A = $\begin{bmatrix} 1 &2 &2 \\ 2&1 &2 \\ a&2 &b \end{bmatrix}$ And AAAT = 3I I is a 3x3 identity matrix. (a,b) can be: A. (2,1) B. (2,1) C. (2,1) D. (2,1) How to solve it fast?
answered
Jan 13
in
Linear Algebra
by
ANKITA MALL
(
11
points)

115
views
+5
votes
0
answers
33
matrix
asked
Jan 12
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
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6.7k
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26
views
engineeringmathematics
matrices
+3
votes
1
answer
34
matrix
answered
Jan 12
in
Linear Algebra
by
Sandeep Suri
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4.8k
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54
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linearalgebra
matrix
0
votes
2
answers
35
ISRO2012ECE: Engineering Mathematics
answered
Jan 12
in
Linear Algebra
by
Sandeep Suri
Loyal
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4.8k
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35
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isro
isro2012ece
isroece
–1
vote
1
answer
36
ISRO 2012 ECE : Engineering mathematics
answered
Jan 12
in
Linear Algebra
by
Vaibhav Bhanawat
(
57
points)

52
views
isroece
cs_questions
isro
engineeringmathematics
+18
votes
5
answers
37
GATE2017252
If the characteristic polynomial of a 3 $\times$ 3 matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \mathbb{R}$, and one eigenvalue of $M$ is 2, then the largest among the absolute values of the eigenvalues of $M$ is _______
answered
Jan 12
in
Linear Algebra
by
saxena0612
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11.7k
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2.4k
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gate20172
engineeringmathematics
linearalgebra
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0
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38
Linear Algebra
If $I$ is the unit matrix of order $n$ , where $k!=0$ is a constant then $adj \ kI$ is
asked
Jan 11
in
Linear Algebra
by
Anjan
Active
(
1.8k
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65
views
engineeringmathematics
linearalgebra
+4
votes
1
answer
39
matrix adjoint
answered
Jan 10
in
Linear Algebra
by
MiNiPanda
Boss
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5.7k
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94
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linearalgebra
matrices
+1
vote
0
answers
40
Matrices
$\begin{bmatrix} 1 &2 &0 \\ 1& 1 &0 \\ 2& 1 &0 \end{bmatrix}$ What is the degree sequences can we get in a graph by the above matrix
asked
Jan 8
in
Linear Algebra
by
srestha
Veteran
(
81.5k
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66
views
engineeringmathematics
matrices
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