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Recent questions in Linear Algebra
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Previous GATE
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Matrices, determinants,
System of linear equations,
Eigenvalues and eigenvectors,
LU decomposition.
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Previous GATE
0
votes
1
answer
1
Gate 2015 CE set 2
The two eigen values of the matrix $\begin{bmatrix} 2 & 1\\ 1& p \end{bmatrix}$ have a ratio of 3:1 for p= 2. What is another value of p for which eigenvalues have the same ratio of 3:1? A)2 b) 1 c) 7/3 d)14/3
asked
1 day
ago
in
Linear Algebra
by
suparna kar
(
49
points)

11
views
eigenvalue
usergate2015
usermod
0
votes
0
answers
2
Eigen vector
Is it true that if we have 3 distinct eigen vectors x,y and z than x,y and z would respectively be orthogonal to each other .Please elaborate
asked
1 day
ago
in
Linear Algebra
by
Shivangi Parashar 2
(
41
points)

13
views
0
votes
1
answer
3
Gate 2016 CE Set 1
If the entries in each column of a square matrix M add up to 1, then an eigen value of M is A) 4 B) 3 C) 2 D) 1
asked
1 day
ago
in
Linear Algebra
by
suparna kar
(
49
points)

32
views
eigenvalue
0
votes
1
answer
4
Gate 2016 ME Set 2
The condition for which the eigen values of the matrix A = $\begin{pmatrix} 2 &1 \\ 1& k \end{pmatrix}$ are positive, is a) k>1/2 b) k>2 c) k>0 d) k< 1/2
asked
1 day
ago
in
Linear Algebra
by
suparna kar
(
49
points)

14
views
gate20161
linearalgebra
eigenvalue
0
votes
1
answer
5
made easy ME previou year question
which on of the following is an eigenvector of the matrix [5 0 0 0 0 5 5 0 0 0 2 1 0 0 3 1] a) [1 2 0 0 ]t b) [0 0 1 0]t c) [1 0 0 2]t d) [1 1 2 1]t
asked
2 days
ago
in
Linear Algebra
by
Ashwashil Lanjewar
(
21
points)

15
views
matrixeigenvector
0
votes
0
answers
6
Gate2016
A 3×3 matrix p is such that,p^3=p. Then eigen values of p are
asked
3 days
ago
in
Linear Algebra
by
lg
(
33
points)

15
views
0
votes
1
answer
7
gate 2014
Two matrices A and B are given below: A= p q r s B= p2 + q2 pr + qs pr +qs r2 + s2 If the rank of matrix A is N, then the rank of matrix B is (A) N /2 (B) N1 (C) N (D) 2 N
asked
Aug 10
in
Linear Algebra
by
Ashwashil Lanjewar
(
21
points)

26
views
+1
vote
2
answers
8
Engineering mathematics
if the sum of the diagonal elements of a 2x2 matrix is (6) then the maximum possible value of determinant of the matrix is
asked
Aug 9
in
Linear Algebra
by
suparna kar
(
49
points)

48
views
0
votes
0
answers
9
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8
in
Linear Algebra
by
pankaj_vir
Loyal
(
9.2k
points)

11
views
engineeringmathematics
linearalgebra
matrices
matrix
0
votes
2
answers
10
Invertible Matrix
Let A be a $5 × 5$ invertible matrix with row sums $1$. That is $\sum_{j=1}^{5} a_{ij} = 1$ for $1 \leq i\leq 5$. Then, what is the sum of all entries of $A^{1}$.
asked
Aug 8
in
Linear Algebra
by
pankaj_vir
Loyal
(
9.2k
points)

49
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
0
votes
1
answer
11
#idempotent #matrix
If Matrix A and B are of same size and AB=B and BA=A. Then the value of $(A+B)^{5}$ is _____________?
asked
Aug 7
in
Linear Algebra
by
Rustam Ali
(
229
points)

30
views
0
votes
0
answers
12
Kenneth Rosen 2.1
Determine True or False $a)x\varepsilon \left \{ x \right \}$ $b)\left \{ x \right \}\subseteq \left \{ x \right \}$ $c)\left \{ x \right \}\varepsilon \left \{ x \right \}$
asked
Jul 13
in
Linear Algebra
by
srestha
Veteran
(
92k
points)

37
views
settheory&algebra
discretemathematics
0
votes
1
answer
13
ugc net 2018 july10
asked
Jul 8
in
Linear Algebra
by
pream sagar
(
385
points)

138
views
0
votes
0
answers
14
orthogonal matrix
Is the determinent of both the orthogonal and orthonormal is +1?for orthonormal im always getting +1 but for orthogonal its always +C,not 1,C=mag of the vector matrix
asked
Jul 8
in
Linear Algebra
by
Ankush Saha
(
7
points)

25
views
0
votes
1
answer
15
Inversion of a matrix  CSIR question
Let A be 3x3 matrix. Suppose 1 and 1 are two of the three Eigen Values of A and 18 is one of the Eigen Values of A2+3A. Then____ a.) Both A and A2+3A are invertible. b.) A2+3A but A is not. c.) A is invertible but A2+3A is not invertible. d.) Both A and A2+3A are not invertible.
asked
Jul 5
in
Linear Algebra
by
ZeroFriction
(
15
points)

68
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
+1
vote
1
answer
16
Engineering Maths: Orthogonal Matrix
Is the given last point correct? But as i see in the given matrix sum of the product of first two columns (or) two rows is not zero. please verify.
asked
Jun 13
in
Linear Algebra
by
pbhati
(
35
points)

29
views
linearalgebra
engineeringmathematics
0
votes
0
answers
17
Matrix multiplication Gilbert strang
Multiple Interpretations of Matrix Multiplications Say we are multiplying two matices A B = C. Multiple ways to interpret this operation: Rowwise approach: Ci = Ai B. Rows of C are linear combinations of rows in B Column multiplied by rows: ... of A and ith row of B! I am unable to understand these two ways as mentioned in gibert strang book and video ?
asked
Jun 2
in
Linear Algebra
by
Sandy Sharma
Junior
(
677
points)

44
views
0
votes
0
answers
18
Gilbert Strang  Real Symmetric Matrices
asked
Jun 2
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
6.6k
points)

40
views
linearalgebra
gilbertstrang
matrix
engineeringmathematics
0
votes
3
answers
19
Made easy test
Consider the rank of matrix $'A'$ of size $(m \times n)$ is $"m1"$. Then, which of the following is true? $AA^T$ will be invertible. $A$ have $"m1"$ linearly independent rows and $"m1"$ linearly ... and $"n"$ linearly independent columns. $A$ will have $"m1"$ linearly independent rows and $"n1"$ independent columns.
asked
May 31
in
Linear Algebra
by
saumya mishra
Active
(
1.2k
points)

108
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
20
Matrix
Each row of M can be represented as a linear combination of the other rows 1)Does that mean linear combination of other rows will be 0? how ? 2)And also , is linear combination means add, subtract, multiply and divide , but not squaring or root or exponential operation,right? https://gateoverflow.in/3319/gate2008it29
asked
May 30
in
Linear Algebra
by
srestha
Veteran
(
92k
points)

88
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
21
If A and B are matrices of order 4 x 4 such that A= 5B and determinant of A = X. (determinant of B), then X will be
asked
May 30
in
Linear Algebra
by
VIDYADHAR SHELKE 1
(
111
points)

59
views
engineeringmathematics
linearalgebra
0
votes
1
answer
22
Made easy test
Which of the following matrices is LU DECOMPOSIBLE? How to find it? $\begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 5 \\ 1 & 3 & 4 \end{bmatrix}$ $\begin{bmatrix} 3 & 2 \\ 0 & 1 \end{bmatrix}$ $\begin{bmatrix} 0 & 1 \\ 3 & 2 \end{bmatrix}$ $\begin{bmatrix} 1 & 3 & 7 \\ 2 & 6 & 1 \\ 0 & 3 & 2 \end{bmatrix}$
asked
May 30
in
Linear Algebra
by
saumya mishra
Active
(
1.2k
points)

64
views
engineeringmathematics
linearalgebra
+1
vote
3
answers
23
Matrix
The matrix $A=\begin{bmatrix} 1 &4 \\ 2 &3 \end{bmatrix}$ satisfies the following polynomial $A^{5}4A^{4}7A^{3}+11A^{2}2A+kI=0$ Then the value of k is ______________
asked
May 26
in
Linear Algebra
by
srestha
Veteran
(
92k
points)

206
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
24
related to previous year
can someone verify my answer given to this matrices question ? https://gateoverflow.in/3319/gate2008it29
asked
May 20
in
Linear Algebra
by
mehul vaidya
Active
(
1.5k
points)

41
views
0
votes
0
answers
25
Vector
https://www.youtube.com/watch?v=3SkCNpFOshk In this lecture , can somebody define in 2nd question why $X_{1}+X_{2}\notin V_{1}\cup V_{2}$? I cannot understand the proof
asked
May 17
in
Linear Algebra
by
srestha
Veteran
(
92k
points)

29
views
vectorspace
engineeringmathematics
0
votes
1
answer
26
ISI 2018 MMA 2
The volume of the region $S=\{(x,y,z) :\left  x \right +\left  y \right +\left  z \right \leq 1\}$ is $\frac{1}{6}$ $\frac{1}{3}$ $\frac{2}{3}$ $\frac{4}{3}$
asked
May 14
in
Linear Algebra
by
Tesla!
Boss
(
16.2k
points)

76
views
isi2018
vectorspace
0
votes
0
answers
27
Matrix
To find the product of the nonzero eigenvalues of the matrix is ____ $\begin{pmatrix} 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 ... [ \left ( 1\lambda \right )\left ( \lambda ^{2}2\lambda \right ) \right ]$ then $\lambda =1,2,0$ Where is my mistake, plz tell me
asked
May 14
in
Linear Algebra
by
srestha
Veteran
(
92k
points)

159
views
linearalgebra
matrices
engineeringmathematics
0
votes
2
answers
28
GATE 2016 EE SET 1
Let the eigenvalues of 2 x 2 matrix A be 1, 2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A^2  3A+4I would respectively, be (a) 2,14; x1,x2 (b) 2,14; x1+x2:x1x2 (c) 2,0; x1, x2 (d) 2,0; x1+x2,x1x2
asked
May 2
in
Linear Algebra
by
Prateek K
Active
(
1.4k
points)

106
views
linearalgebra
gate2016ee2
eigenvalue
0
votes
0
answers
29
ISI 2017 MMA 18
Consider following system of equations: $\begin{bmatrix} 1 &2 &3 &4 \\ 5&6 &7 &8 \\ a&9 &b &10 \\ 6&8 &10 & 13 \end{bmatrix}$$\begin{bmatrix} x1\\ x2\\ x3\\ x4 \end{bmatrix}$=$\begin{bmatrix} 0\\ 0\\ 0\\ 0 \end{bmatrix ... solution for ($x_{1},x_{2},x_{3},x_{4}$) is A) a parabola B) a straight line C) entire $\mathbb{R}^{2}$ D) a point
asked
Apr 25
in
Linear Algebra
by
Tesla!
Boss
(
16.2k
points)

126
views
isi2017
0
votes
1
answer
30
ISI 2017 MMA 20
The number of the ordered pair (X, Y), where X and Y are N*N real matrices such that XYYX= I is A) 0 B) 1 C) N D) Infinite
asked
Apr 24
in
Linear Algebra
by
Tesla!
Boss
(
16.2k
points)

125
views
osi2017
engineeringmathematics
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