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Recent questions tagged linearalgebra
Webpage for Linear Algebra
+1
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0
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1
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)

10
views
linearalgebra
engineeringmathematics
0
votes
0
answers
2
Gilbert Strang  Real Symmetric Matrices
asked
Jun 2
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
6k
points)

34
views
linearalgebra
gilbertstrang
matrix
engineeringmathematics
0
votes
1
answer
3
Gilbert Strang 1.3.9
For which three numbers $k$ does elimination break down? Which is fixed by a row exchange? In each case, is the number of solutions $0$ or $1$ Infinity? $$Kx + 3 y =6\\3x +ky = 6$$
asked
May 31
in
Engineering Mathematics
by
Sandy Sharma
(
437
points)

46
views
linearalgebra
gilbertstrang
matrix
0
votes
2
answers
4
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
Junior
(
933
points)

69
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
5
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
(
86.8k
points)

68
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
6
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
(
71
points)

44
views
engineeringmathematics
linearalgebra
0
votes
1
answer
7
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
Junior
(
933
points)

55
views
engineeringmathematics
linearalgebra
+1
vote
3
answers
8
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
(
86.8k
points)

163
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
9
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
(
86.8k
points)

148
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
10
Regarding Preparation
I know this question has been asked many times, but yeah. I am weak in calculus and linear algebra and have never studied probability properly. Now according to internet suggestions, I should read Kreyzig or BS Grewal, but I will most probably want ... time for GATE 2019 should i watch lectures of Gilbert Strang, Stats 110 and calculus textbook, or should i stick to kreyzig?
asked
May 11
in
Calculus
by
mohitjarvissharma
(
113
points)

76
views
engineeringmathematics
calculus
linearalgebra
probability
preparation
0
votes
2
answers
11
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
(
1.3k
points)

85
views
linearalgebra
gate2016ee2
eigenvalue
+1
vote
1
answer
12
Set system and linear algebra
We have $m$ sets $A_1,A_2,A_3 \text{ to } A_m$. All $A_i \subseteq [n]$ where $ [n] = \{1,2,3, \dots n \}.$ Given that $A_i = \text{odd number}$ and $A_i \cap A_j = \text{even number }\forall i \neq j$. Show that $m \leq n$.
asked
Apr 16
in
Set Theory & Algebra
by
Debashish Deka
Veteran
(
56.6k
points)

353
views
sets
linearalgebra
combinatoricsiitb
+1
vote
1
answer
13
Determinant
Find the determinant of the $n\times n$ matrix $\begin{bmatrix} 2cos\Theta & 1 & 0 &0 &........ & 0 & \\ 1&2cos\Theta &1 & 0 & ........ & 0 & \\ 0&1 & 2cos\Theta & 1 &........ & 0 & ... &.... & 1 & 2cos\Theta & \end{bmatrix}$ how the answer could be $D_{n}2cos\Theta D_{n1}+D_{n2}=0$? Plz explain
asked
Mar 13
in
Linear Algebra
by
srestha
Veteran
(
86.8k
points)

85
views
linearalgebra
matrices
0
votes
1
answer
14
GATE2007 EE
Let $x$ and $y$ be two vectors in a $3$ dimensional space and $<x,y>$ denote their dot product. Then the determinant $det\begin{bmatrix}<x,x> & <x,y>\\ <y,x> & <y,y>\end{bmatrix}$ is zero when $x$ and $y$ are ... positive when $x$ and $y$ are linearly independent is nonzero for all nonzero $x$ and $y$ is zero only when either $x$ or $y$ is zero
asked
Mar 13
in
Linear Algebra
by
Aishwarya Gujrathi
(
495
points)

92
views
engineeringmathematics
linearalgebra
0
votes
1
answer
15
GATE 2018 Maths  22(Electronics and Communication Engineering)
asked
Feb 21
in
Calculus
by
Lakshman Patel RJIT
Loyal
(
7.7k
points)

188
views
gate2018
engineeringmathematics
linearalgebra
matrices
normal
0
votes
1
answer
16
GATE 2018 Maths  44(Electrical Engineering)
asked
Feb 21
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
7.7k
points)

186
views
gate2018
engineeringmathematics
linearalgebra
easy
+10
votes
3
answers
17
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 the following options ... and III are necessarily true Only II is necessarily true Only I and II are necessarily true Only II and III are necessarily true
asked
Feb 14
in
Linear Algebra
by
gatecse
Boss
(
18k
points)

1.8k
views
gate2018
linearalgebra
matrices
eigenvalue
normal
+6
votes
4
answers
18
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 ____
asked
Feb 14
in
Linear Algebra
by
gatecse
Boss
(
18k
points)

1.3k
views
gate2018
linearalgebra
eigenvalue
normal
numericalanswers
0
votes
0
answers
19
Eigen Vectors
I'm getting 2
asked
Feb 1
in
Linear Algebra
by
Pawan Kumar 2
Active
(
4.5k
points)

87
views
linearalgebra
+5
votes
2
answers
20
LU decomposition
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
7.7k
points)

80
views
linearalgebra
matrices
+5
votes
1
answer
21
Eigen value
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
7.7k
points)

123
views
engineeringmathematics
linearalgebra
matrix
eigenvalue
+5
votes
1
answer
22
matrix linearly independent and orthogonal
asked
Jan 12
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
7.7k
points)

65
views
linearalgebra
+1
vote
0
answers
23
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
(
1.7k
points)

77
views
engineeringmathematics
linearalgebra
+4
votes
1
answer
24
matrix adjoint
asked
Jan 10
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
7.7k
points)

111
views
linearalgebra
matrices
+3
votes
1
answer
25
matrix
asked
Jan 10
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
7.7k
points)

58
views
linearalgebra
matrix
+2
votes
0
answers
26
Matrix
If A and B are symmetric matrices of same order, then ABBA is A) NULL matrix B) Symmetric matrix C) Skew symmetric matrix D) Orthogonal matrix
asked
Jan 6
in
Linear Algebra
by
srestha
Veteran
(
86.8k
points)

116
views
linearalgebra
matrices
+2
votes
0
answers
27
made easy subject wise
A real n × n matrix A = {aij} is defined as follows: aij= i, if i = j, otherwise 0 The determinant of all n eigen values of A is
asked
Jan 6
in
Mathematical Logic
by
Kuldeep Pal
Active
(
1.3k
points)

50
views
linearalgebra
matrices
+1
vote
1
answer
28
GATE 2014 IN (2 Marks)
A scalar valued function is defined as $f(x)=x^TAx+b^Tx+c$ , where A is a symmetric positive definite matrix with dimension $n*1$ ; b and x are vectors of dimension $n*1$ .The minimum value of $f(x)$ will occur when x equals. Answer: $(\frac{A^{1}b}{2})$ How to solve this?
asked
Jan 2
in
Linear Algebra
by
Sourajit25
Junior
(
791
points)

126
views
gate2014
linearalgebra
matrices
in
+1
vote
1
answer
29
Linear Algebra: Matrix operations
Consider two statements: 1) Eigenvalue of M = Eigenvalue of M' {M' is the matrix gets after row operation} 2) Eigenvalue of M $\lambda$I = Eigenvalue of M $\lambda$I' {M $\lambda$I' is the matrix gets after row operation}
asked
Jan 1
in
Linear Algebra
by
Shubhanshu
Boss
(
15k
points)

93
views
engineeringmathematics
linearalgebra
eigenvalue
+2
votes
0
answers
30
Matrix, IN Gate 2007
Let A be an nxn real matrix such that A^2=I and y be an ndimensional vector. Then the linear system of equations AX=Y has A) No solution B) Unique Solution C) More than one but finitely many independent solutions D) infinitely many independent solutions
asked
Dec 31, 2017
in
Linear Algebra
by
MiNiPanda
Loyal
(
5.8k
points)

74
views
linearalgebra
gate
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