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Recent questions tagged matrices
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1
Cases when LU decomposition is possible.
asked
Nov 18
in
Linear Algebra
by
Ayush Upadhyaya
Boss
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19k
points)

69
views
linearalgebra
matrices
0
votes
0
answers
2
GATEME2016
asked
Nov 6
in
Linear Algebra
by
aditi19
Active
(
2.1k
points)

54
views
gate20161
linearalgebra
matrices
eigenvalue
+3
votes
2
answers
3
Eigen Value
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix
asked
Sep 20
in
Linear Algebra
by
aditi19
Active
(
2.1k
points)

90
views
matrices
eigenvalue
0
votes
0
answers
4
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8
in
Linear Algebra
by
pankaj_vir
Loyal
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9.7k
points)

51
views
engineeringmathematics
linearalgebra
matrices
matrix
0
votes
2
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5
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
(
9.7k
points)

97
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
0
votes
1
answer
6
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)

110
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
3
answers
7
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 ... $"n"$ linearly independent columns. $A$ will have $"m1"$ linearly independent rows and $"n1"$ independent columns.
asked
May 31
in
Linear Algebra
by
saumya mishra
Active
(
1.5k
points)

144
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
8
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
(
104k
points)

122
views
linearalgebra
matrices
engineeringmathematics
+1
vote
3
answers
9
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
(
104k
points)

274
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
10
Matrix
To find the product of the nonzero eigenvalues of the matrix is ____ ... $\lambda =1,2,0$ Where is my mistake, plz tell me
asked
May 14
in
Linear Algebra
by
srestha
Veteran
(
104k
points)

186
views
linearalgebra
matrices
engineeringmathematics
+4
votes
4
answers
11
ISI201729
Suppose the rank of the matrix $\begin{pmatrix}1&1&2&2\\1&1&1&3\\a&b&b&1\end{pmatrix}$ is $2$ for some real numbers $a$ and $b$. Then $b$ equals $1$ $3$ $1/2$ $1/3$
asked
Mar 29
in
Linear Algebra
by
jjayantamahata
Active
(
1.6k
points)

268
views
isi2017
engineeringmathematics
matrices
rankofmatrix
+1
vote
2
answers
12
ISI201719
If $\alpha, \beta$ and $\gamma$ are the roots of $x^3  px +q = 0$, then the value of the determinant $\begin{vmatrix}\alpha & \beta & \gamma\\\beta & \gamma & \alpha\\\gamma & \alpha & \beta\end{vmatrix}$ is $p$ $p^2$ $0$ $p^2+6q$
asked
Mar 28
in
Mathematical Logic
by
jjayantamahata
Active
(
1.6k
points)

161
views
isi2017
matrices
determinant
+1
vote
2
answers
13
ISI201715
The diagonal elements of a square matrix $M$ are odd integers while the offdiagonals are even integers. Then $M$ must be singular $M$ must be nonsingular There is not enough information to decide the singularity of $M$ $M$ must have a positive eigenvalue.
asked
Mar 27
in
Mathematical Logic
by
jjayantamahata
Active
(
1.6k
points)

123
views
isi2017
matrices
+3
votes
3
answers
14
ISI20175
If $A$ is a $2 \times 2$ matrix such that trace $A = det \ A = 3,$ then what is the trace of $A^{1}$? $1$ $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{2}\right)$
asked
Mar 27
in
Linear Algebra
by
jjayantamahata
Active
(
1.6k
points)

198
views
engineeringmathematics
isi2017
matrices
+3
votes
1
answer
15
Made easy workbook
Let $A$ be a $4\times 4$ matrix with real entries such that $1,1,2,2$ are eigen values.If $B=A^45A^2+5I$ then trace of $A+B$ is...........
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
837
points)

195
views
matrices
eigenvalue
+3
votes
1
answer
16
Madeeasy workbook
The number of different matrices that can be formed with elements $0,1,2,3$; each matrix having $4$ elements is $2\times 4^4$ $3\times 4^4$ $4\times 4^4$ $3\times 2^4$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
837
points)

106
views
matrices
+1
vote
1
answer
17
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix with Eigen values $1,1,0$.Then $\mid A^{100}+I\mid$ is...
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
837
points)

241
views
matrices
eigen
eigenvalue
+2
votes
2
answers
18
Madeeasy workbook
A $3\times 3$ matrix $P$ is such that $P^3 =P$.Then the eigenvalues of $P$ are $1,1,1$ $1,0.5+j(0.886),0.5j(0.866)$ $1,0.5+j(0.866),0.5j(0.886)$ $0,1,1$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
837
points)

129
views
matrices
eigenvalue
+1
vote
2
answers
19
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix such that $\mid AI \mid=0$.If trace of $A=13$ and $det A = 32$ then sum of squares of the eigen values of $A$ is ..... $82$ $13$ $169$ $81$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
837
points)

417
views
matrices
eigenvalue
+2
votes
2
answers
20
Madeeasy workbook
Let $A$ be a $3\times 4$ matrix.The system of equations $Ax=0$ has unique solution Infinite solution No solution Exactly 2 solutions
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
837
points)

1.6k
views
matrices
+1
vote
1
answer
21
Made easy workbook
Let $A = (a_{ij})_{n\times n}$ such that $a_{ij}=3$ for all $i,j$ then nullity of $A$ is $n1$ $n3$ $n$ $0$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
837
points)

179
views
matrices
nullityofmatrix
0
votes
2
answers
22
ISI201418
Let $D_1 = det \begin{pmatrix}a & b & c\\x &y & z\\p& q & r\end{pmatrix}$ and $D_2 = det \begin{pmatrix}x & a & p\\y &b & q\\z & c & r\end{pmatrix}$ Then $D_1 = D_2$ $D_1 = 2D_2$ $D_1 = D_2$ $D_2 = 2D_1$
asked
Mar 18
in
Mathematical Logic
by
jjayantamahata
Active
(
1.6k
points)

65
views
matrices
+1
vote
1
answer
23
Determinant
Find the determinant of the $n\times n$ ... $D_{n}2cos\Theta D_{n1}+D_{n2}=0$? Plz explain
asked
Mar 13
in
Linear Algebra
by
srestha
Veteran
(
104k
points)

114
views
linearalgebra
matrices
+1
vote
1
answer
24
Eigen value of the following matrix
The eigen value of the following matrix is $\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}$ $1, 1, 1$ $1, 0, 0$ $3, 0, 0$ $0, 0, 0$
asked
Mar 3
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
5.3k
points)

120
views
eigenvalue
matrices
0
votes
1
answer
25
GATE 2018 Maths  22(Electronics and Communication Engineering)
asked
Feb 21
in
Calculus
by
Lakshman Patel RJIT
Boss
(
20.8k
points)

254
views
gate2018
engineeringmathematics
linearalgebra
matrices
normal
+1
vote
2
answers
26
GATE 2018 Maths  29 (Chemical Engineering)
asked
Feb 20
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
20.8k
points)

120
views
gate2018
engineeringmathematics
matrices
+13
votes
3
answers
27
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
(
18.3k
points)

2.9k
views
gate2018
linearalgebra
matrices
eigenvalue
normal
0
votes
0
answers
28
Gate_2018_Model_Paper
How to solve it for M^1?
asked
Feb 1
in
Mathematical Logic
by
Harikesh Kumar
Active
(
1.4k
points)

79
views
inverseof
matrices
0
votes
0
answers
29
Matrix
asked
Jan 31
in
Linear Algebra
by
srestha
Veteran
(
104k
points)

104
views
matrices
engineeringmathematics
eigenvalue
+1
vote
1
answer
30
Test_series
If an idempotent matrix is also SkewSymmetric then it must be a Null matrix an involuntary matrix an identity matrix Harmitian matrix
asked
Jan 21
in
Mathematical Logic
by
vijay_jr
Active
(
1.1k
points)

176
views
engineeringmathematics
matrices
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