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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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1
ISIMMA201544
Let $P_{1},P_{2},$ and $P_{3}$ denote, respectively, the planes defined by $a_{1}x + b_{1}y + c_{1}z = \alpha _{1}$ $a_{2}x + b_{2}y + c_{2}z = \alpha _{2}$ $a_{3}x + b_{3}y + c_{3}z = \alpha _{3}$ It is given ... then the planes (A) do not have any common point of intersection (B) intersect at a unique point (C) intersect along a straight line (D) intersect along a plane
asked
20 hours
ago
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
9.4k
points)

14
views
engineeringmathematics
linearalgebra
userisi2015
usermod
+2
votes
3
answers
2
GATE20199
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is nonzero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
385k
points)

1.5k
views
gate2019
engineeringmathematics
linearalgebra
determinant
+2
votes
3
answers
3
GATE201944
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
385k
points)

1.9k
views
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
4
Previous gate
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Jan 31
in
Linear Algebra
by
Hemanth_13
Loyal
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6.5k
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64
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eigenvalue
0
votes
0
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5
#math
asked
Jan 30
in
Linear Algebra
by
amit166
Junior
(
693
points)

19
views
engineeringmathematics
0
votes
0
answers
6
ace test series
how? please explain
asked
Jan 28
in
Linear Algebra
by
Vignaneswarkrishna
(
167
points)

36
views
0
votes
0
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7
Gate 2016 ee
Question number 249
asked
Jan 27
in
Linear Algebra
by
Vignaneswarkrishna
(
167
points)

25
views
+1
vote
1
answer
8
Nullity of matrix
Nullity of a matrix = Total number columns – Rank of that matrix By how to calculate value of x when nullity is already given(1 in this case)
asked
Jan 24
in
Linear Algebra
by
Nandkishor3939
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1.2k
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78
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engineeringmathematics
linearalgebra
matrices
rankofmatrix
matrix
–1
vote
0
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9
acetest series
asked
Jan 21
in
Linear Algebra
by
Rajesh Panwar
Junior
(
601
points)

46
views
0
votes
1
answer
10
Simple Determinant
how to prove determinant 1 and 2 are same by some rowcolumn manipulation ,please Help??
asked
Jan 19
in
Linear Algebra
by
BHASHKAR
(
21
points)

36
views
linearalgebra
engineeringmathematics
matrices
0
votes
1
answer
11
Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,1. If $B=A^2A$ then B=? a)24 b)2 c)12 d)12 Please explain in detail.
asked
Jan 19
in
Linear Algebra
by
Reshu $ingh
(
339
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61
views
linearalgebra
matrix
eigenvalue
0
votes
1
answer
12
Ace test series
asked
Jan 17
in
Linear Algebra
by
Rajesh Panwar
Junior
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601
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55
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acetestseries
0
votes
1
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13
Made easy
asked
Jan 16
in
Linear Algebra
by
roman_1997
(
163
points)

43
views
linearalgebra
madeeasytestseries
0
votes
0
answers
14
uppcl2018
need soln
[closed]
asked
Jan 11
in
Linear Algebra
by
SAUMYA2019
(
97
points)

20
views
0
votes
1
answer
15
GATEBOOK2019 Grand Test Mathematics10
Consider the system of equation $2x+3y+5z = 30 \\ 4x+6y+10z =40 \\ x+y z = 2 $ The above system has No solution a unique solution More than one but finite solutions an infinite number of solutions
asked
Jan 7
in
Linear Algebra
by
GATEBOOK
Boss
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15.3k
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46
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gb2019gtmaths
0
votes
0
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16
made easy
The probability of a man hitting a target in one fire is 1/4 The number of times at least he must fire at the target in order that his chance of hitting the target at least once will exceed 2/3 will be _______.
asked
Jan 7
in
Linear Algebra
by
pream sagar
Active
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1.7k
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40
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+1
vote
0
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17
made easy
If 2, – 4 are the eigen values of a nonsingular matrix A and A = –8, then the eigen values of Adj A are x and –y then the value of x + y is _________.
asked
Jan 7
in
Linear Algebra
by
pream sagar
Active
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1.7k
points)

62
views
0
votes
0
answers
18
Doubt on syllabus
Is LU decomposition in course for GATE 2019?
[closed]
asked
Jan 6
in
Linear Algebra
by
subho16
(
139
points)

38
views
engineeringmathematics
ludecomposition
linearalgebra
0
votes
0
answers
19
GATE 2008 C.E.
The eigen values of the matrix [P] = 4 5 are? 2 5 The answer for this is 6 and 5. My question is what wrong am I doing by R1 = R1 + R2 and converting it to lower triangular matrix. Answer after this is +6 and 5 i.e. sign of eigen values inverted.
asked
Jan 6
in
Linear Algebra
by
Barney Ross
(
235
points)

32
views
0
votes
0
answers
20
UPPCL AE 2018:58
asked
Jan 5
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
29k
points)

22
views
uppcl2018
0
votes
0
answers
21
Eigen Values Doubt
Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{1}$ ?
asked
Jan 4
in
Linear Algebra
by
Shamim Ahmed
Active
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2.3k
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73
views
eigenvalue
engineeringmathematics
linearalgebra
0
votes
0
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22
Gatebook Test
[closed]
asked
Jan 4
in
Linear Algebra
by
Shadan Karim
Junior
(
979
points)

70
views
+1
vote
0
answers
23
Gatebook Test
asked
Jan 4
in
Linear Algebra
by
Shadan Karim
Junior
(
979
points)

73
views
0
votes
0
answers
24
Gatebook Test
asked
Jan 4
in
Linear Algebra
by
Shadan Karim
Junior
(
979
points)

32
views
0
votes
1
answer
25
Gatebook Test
asked
Jan 4
in
Linear Algebra
by
Shadan Karim
Junior
(
979
points)

45
views
+1
vote
0
answers
26
Gatebook Test
asked
Jan 4
in
Linear Algebra
by
Shadan Karim
Junior
(
979
points)

32
views
+1
vote
0
answers
27
rc test series
If A=$\begin{bmatrix} 1 & 2\\ 1& 3 \end{bmatrix}$ then $\ A^{6} 4A^{5}+8A^{4}12A^{3}+14A^{2}$=? a)0 b)4A c)4A+5I d)4A+5I am gettind d
asked
Jan 3
in
Linear Algebra
by
Gate Fever
Active
(
4.7k
points)

54
views
0
votes
0
answers
28
GEEKS 4 GEEKS  gate cs mock 2018
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix ? 7/4 1/7 7 4/7 Answer given : 7/4 My answer : 7 trace of a matrix is the sum of its diagonal elements.So on transposing the matrix the diagonal elements will ... is also equal to sum of eigen values.So trace of A = 7 So trace of transpose(A) should be 7. Is my reasoning right?
asked
Jan 3
in
Linear Algebra
by
vk_9_1_9
(
123
points)

46
views
matrix
0
votes
0
answers
29
Uppcl 2018
what could be the eigen values of a 2*2 Matrix if all its elements are intergers.
asked
Jan 2
in
Linear Algebra
by
Shashi Shekhar 1
Junior
(
557
points)

53
views
0
votes
0
answers
30
MathsLAlgDoubt
1.A and AT[Transpose] have same eigen value but may or may not same eigen vector. True? does there any pattern exist between Eigen vector of A and its transpose??? 2.if A and B have same eigen vector what can we conclude?? can we conclude AB==BA? or need one more constraint i.e A and B must have different eigen value.
asked
Jan 2
in
Linear Algebra
by
Abhisek Tiwari 4
Active
(
3.9k
points)

30
views
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