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Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
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Recent questions tagged linearalgebra
Webpage for Linear Algebra
0
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0
answers
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
49 minutes
ago
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
9.4k
points)

2
views
engineeringmathematics
linearalgebra
userisi2015
usermod
+2
votes
3
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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
(
384k
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
(
384k
points)

1.9k
views
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
4
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
Active
(
1.2k
points)

78
views
engineeringmathematics
linearalgebra
matrices
rankofmatrix
matrix
0
votes
1
answer
5
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
6
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
(
329
points)

61
views
linearalgebra
matrix
eigenvalue
0
votes
1
answer
7
GATEBOOK2019 Mock Test112
All the four entries of $2\times 2$ matrix $P = \begin{vmatrix} p_{11} \quad p_{12} \\ p_{21} \quad p_{22} \end{vmatrix}$ are non zero , and one of its eigen values is zero. Which of the following statements is TRUE? $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 0$ $p_{11}p_{22} + p_{12}p_{21} = 0$
asked
Jan 19
in
Others
by
GATEBOOK
Boss
(
15.3k
points)

76
views
gb2019mock1
linearalgebra
eigenvalue
determinant
0
votes
1
answer
8
Made easy
asked
Jan 16
in
Linear Algebra
by
roman_1997
(
163
points)

43
views
linearalgebra
madeeasytestseries
0
votes
0
answers
9
Recurrence Relation for Array
A two dimensional array is stored in column major form in memory if the elements are stored in the following sequence ... calculated as the column number of the element we are looking for summing with the $row \times column$ number of elements. How does the above recurrence relation work?
asked
Jan 7
in
DS
by
kauray
(
321
points)

54
views
recurrence
recurrenceeqation
arrays
linearalgebra
operatingsystem
0
votes
0
answers
10
Doubt on syllabus
Is LU decomposition in course for GATE 2019?
asked
Jan 6
in
Linear Algebra
by
subho16
(
139
points)

38
views
engineeringmathematics
ludecomposition
linearalgebra
0
votes
0
answers
11
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
(
2.3k
points)

73
views
eigenvalue
engineeringmathematics
linearalgebra
0
votes
0
answers
12
The time complexity for the possible ways of multiplying the given set of n matrices.
asked
Jan 1
in
Algorithms
by
susgir2
Active
(
1.4k
points)

21
views
algorithms
timecomplexity
linearalgebra
0
votes
0
answers
13
doubt
how can we find factor of determinant by hit and trial method ? Please explain the steps https://gateoverflow.in/ask?cat=33
asked
Dec 26, 2018
in
Linear Algebra
by
Satbir
Active
(
5.1k
points)

14
views
linearalgebra
0
votes
0
answers
14
Are proofs important at this time while I am preparing Engineering Mathematics?
Good Morning I am preparing Engineering Mathematics now and as the time is less, does proofs matters to learn? Thank you in Advance
asked
Dec 24, 2018
in
Mathematical Logic
by
sambana
(
43
points)

59
views
preparation
linearalgebra
discretemathematics
+2
votes
1
answer
15
Ace test series
asked
Dec 9, 2018
in
Linear Algebra
by
abhishekmehta4u
Boss
(
25.3k
points)

62
views
linearalgebra
+1
vote
0
answers
16
Self Doubt
Relation between rank and number of nonzero eigenvalues of a matrix If Rank of n X n matrix is r, then number of non zero eigen values ?? In either of cases det(A) = 0 or if det(A) not equal 0
asked
Nov 29, 2018
in
Linear Algebra
by
jatin khachane 1
Loyal
(
6.4k
points)

26
views
engineeringmathematics
linearalgebra
0
votes
0
answers
17
Matrices
The number of binary matrices of order $N*N$ whose determinant is exactly zero.
asked
Nov 29, 2018
in
Linear Algebra
by
HeadShot
Active
(
4.6k
points)

27
views
linearalgebra
0
votes
1
answer
18
Gilbert_Strang_LU_Decomposition
For which numbers c is $A=LU$ impossible? $\begin{bmatrix} 1 & 2 &0 \\ 3 & c &1 \\ 0 &1 &1 \end{bmatrix}$
asked
Nov 18, 2018
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
24.5k
points)

77
views
linearalgebra
+2
votes
1
answer
19
Cases when LU decomposition is possible.
I had already visited below link but was unable to grasp it. https://math.stackexchange.com/questions/218770/whendoesasquarematrixhaveanludecomposition. I made some form of selfanalysis, let me know if I am in the correct ... pivot, and if such cannot be fixed without a row shuffle operation, then LU decomposition is not possible. Am I correct?
asked
Nov 18, 2018
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
24.5k
points)

129
views
linearalgebra
matrices
0
votes
1
answer
20
Linear AlgebraMETest
If the determinant of the below matrix is 245, what is the value of X? $\begin{bmatrix} 0 & 4& 2 &1 \\ 3& 1 & 0 & 2\\ 5&2 & x& 4\\ 6& 1 & 1 & 0 \end{bmatrix}$ ... , because by keeping 6 in place of x I am getting determinant as 245(Result verified by computer program). Please let me know where I am going wrong?
asked
Nov 17, 2018
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
24.5k
points)

104
views
linearalgebra
engineeringmathematics
0
votes
0
answers
21
#math combat
If $A$ is $2\times 2$ matrix ,eigen value is $1,2$ and corresponding eigen vector $[1,2]^{T}$ and $[9,1]^{T}$.find sum of element of the matrix $A.$
asked
Nov 15, 2018
in
Linear Algebra
by
amit166
Junior
(
693
points)

64
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
22
Linear Algebra_25
Let AX=B be a system of n linear equations in n unknown with integer coefficient and the components of B are all integer. Consider the following (1)det(A)=1 (2)det(A)=0 (3)Solution X has integer entries (4)Solution X does not have all integer entries For the given system ... then 3 holds true (c)If 1, then 4 holds true (d)If 2, then 3 holds true I think (d) should be the answer.
asked
Nov 15, 2018
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
24.5k
points)

81
views
linearalgebra
engineeringmathematics
systemofequations
0
votes
0
answers
23
#books q
the number of algebric terms in expansion of a determinant of order 5 is
asked
Nov 13, 2018
in
Linear Algebra
by
amit166
Junior
(
693
points)

37
views
linearalgebra
+1
vote
1
answer
24
Eigen Vector
asked
Nov 7, 2018
in
Linear Algebra
by
Na462
Loyal
(
8.6k
points)

206
views
eigenvalue
linearalgebra
0
votes
0
answers
25
GATEME2016
asked
Nov 6, 2018
in
Linear Algebra
by
aditi19
Active
(
2.3k
points)

90
views
gate20161
linearalgebra
matrices
eigenvalue
0
votes
1
answer
26
linear algebra
The Eigen Vectors of the Matrix $A=\begin{bmatrix} 3 &4 \\ 4 &3 \end{bmatrix}$ are $\begin{bmatrix} a\\ 1 \end{bmatrix},\begin{bmatrix} 1\\ b \end{bmatrix}$ the $a+b=?$ Answer is given (a+b)=0 how ?????
asked
Oct 30, 2018
in
Linear Algebra
by
altamash
(
425
points)

46
views
engineeringmathematics
linearalgebra
eigenvectors
0
votes
0
answers
27
self doubt
which method is used for solving equation as shown in image
asked
Oct 29, 2018
in
Linear Algebra
by
kd.....
Junior
(
851
points)

27
views
linearalgebra
0
votes
0
answers
28
Eigen Vector
asked
Oct 26, 2018
in
Linear Algebra
by
Na462
Loyal
(
8.6k
points)

46
views
eigenvalue
linearalgebra
engineeringmathematics
0
votes
0
answers
29
Eigen Values(Matrix is not idempotent)
Given that a matrix $A_{3\times3},$which is not idempotent matrix.And $A^{3}=A.$ Then find them, $1)$ Eigen Values $2)$ Trace of the matrix$=$Sum of Leading Diagonal Elements$=\sum a_{ij},$ where $i=j$ $3)Det(A)$
asked
Oct 25, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
29k
points)

63
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
1
answer
30
Rank of the matrix
Given that a matrix $[A]_{4\times4},$any one row/column is dependent on the others, and given matrix are singular matrix$(A=0)$. And another matrix $B=adj(A),$then find them, $1)$Rank of the matrix $B$ $2)$Rank of the marix $adj(B)$
asked
Oct 25, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
29k
points)

68
views
engineeringmathematics
linearalgebra
rankofmatrix
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