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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
Feb 22
in
Linear Algebra
by
ankitgupta.1729
Boss
(
10.7k
points)

58
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
(
395k
points)

1.6k
views
gate2019
engineeringmathematics
linearalgebra
determinant
+3
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
(
395k
points)

2.1k
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)

99
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
(
31
points)

45
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
(
369
points)

83
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
(
17.2k
points)

84
views
gb2019mock1
linearalgebra
eigenvalue
determinant
0
votes
1
answer
8
MadeEasy Full Length Test 2019: Engineering Mathematics  Linear Algebra
asked
Jan 16
in
Linear Algebra
by
roman_1997
(
163
points)

61
views
linearalgebra
engineeringmathematics
madeeasytestseries2019
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)

66
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
(
189
points)

40
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
(
2.5k
points)

78
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
(
1.5k
points)

27
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
Loyal
(
5.9k
points)

15
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
(
49
points)

64
views
preparation
linearalgebra
discretemathematics
0
votes
0
answers
15
Zeal Test Series 2019: Linear Algebra  Eigen Value
asked
Dec 21, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.3k
points)

76
views
zeal
engineeringmathematics
linearalgebra
eigenvalue
zeal2019
+5
votes
2
answers
16
TIFR2019A3
$A$ is $n*n$ square matrix for which the entries in every row sum to $1$.Consider the following statements: $(i)$ The column vector $[1,1,….,1]^T$ is an eigenvector of $A.$ $(ii) det(AI) = 0$ $(iii) det(A) = 0$ Which of the above statements must be TRUE? Only $(i)$ Only $(ii)$ Only $(i)$ and $(ii)$ Only $(i)$ and $(iii)$ $(i),(ii) and(iii)$
asked
Dec 18, 2018
in
Linear Algebra
by
Arjun
Veteran
(
395k
points)

391
views
tifr2019
engineeringmathematics
linearalgebra
eigenvalue
+3
votes
1
answer
17
Ace test series
asked
Dec 9, 2018
in
Linear Algebra
by
abhishekmehta4u
Boss
(
33.4k
points)

67
views
linearalgebra
0
votes
1
answer
18
Ace Test Series: Linear Algebra  Eigen Values
asked
Dec 7, 2018
in
Linear Algebra
by
Sumit Kushwah
(
15
points)

131
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
0
answers
19
MadeEasy Test Series: Linear Algebra  Eigen Value
A 3 X 3 matrix P has 3 eigen values $1 , 0.5 , 3$ What will be eigen values of $P^{2} + 2P + I$
asked
Dec 2, 2018
in
Linear Algebra
by
jatin khachane 1
Loyal
(
7.1k
points)

80
views
madeeasytestseries
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
0
answers
20
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
(
7.1k
points)

26
views
engineeringmathematics
linearalgebra
0
votes
0
answers
21
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
(
4.9k
points)

28
views
linearalgebra
0
votes
1
answer
22
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
(
25.3k
points)

78
views
linearalgebra
+2
votes
1
answer
23
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
(
25.3k
points)

172
views
linearalgebra
matrices
+1
vote
0
answers
24
Zeal Test Series 2019: Linear Algebra  Matrices
asked
Nov 17, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.3k
points)

55
views
zeal
linearalgebra
discretemathematics
matrices
zeal2019
0
votes
1
answer
25
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
(
25.3k
points)

131
views
linearalgebra
engineeringmathematics
0
votes
0
answers
26
#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
(
761
points)

65
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
27
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
(
25.3k
points)

90
views
linearalgebra
engineeringmathematics
systemofequations
0
votes
0
answers
28
#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
(
761
points)

41
views
linearalgebra
+1
vote
1
answer
29
Eigen Vector
asked
Nov 7, 2018
in
Linear Algebra
by
Na462
Loyal
(
8.7k
points)

214
views
eigenvalue
linearalgebra
0
votes
0
answers
30
GATEME2016
asked
Nov 6, 2018
in
Linear Algebra
by
aditi19
Active
(
2.9k
points)

98
views
gate20161
linearalgebra
matrices
eigenvalue
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