Recent questions tagged matrices

0 votes

1 answer

1

Linear Algebra Eigenvalues
If the eigenvalues of a 3x3 matrix A are 1,2 and 3 then inverse of A is?

theakatsuki4 asked in Linear Algebra Sep 16

by theakatsuki4

87 views

10 votes

5 answers

2

GATE CSE 2021 Set 2 | Question: 24
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T$. The rank of $P$ is __________

Arjun asked in Linear Algebra Feb 18

by Arjun

2.8k views

2 votes

2 answers

3

GATE CSE 2021 Set 1 | Question: 52
Consider the following matrix.$\begin{pmatrix} 0 & 1 & 1 & 1\\ 1& 0& 1 & 1\\ 1& 1 & 0 & 1 \\1 & 1 & 1 & 0 \end{pmatrix}$The largest eigenvalue of the above matrix is __________.

Arjun asked in Linear Algebra Feb 18

by Arjun

2k views

1 vote

1 answer

4

CMI-2018-DataScience-A: 1
If $P$ is an invertible matrix and $A=PBP^{-1},$ then which of the following statements are necessarily true? $B=P^{-1}AP$ $|A|=|B|$ $A$ is invertible if and only if $B$ is invertible $B^T=A^T$

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

211 views

0 votes

2 answers

5

CMI-2018-DataScience-A: 2
Let ... $|A|=|B|$ $|C|=|D|$ $|B|=-|C|$ $|A|=-|D|$

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

148 views

0 votes

2 answers

6

CMI-2018-DataScience-A: 3
Let $x=\begin{bmatrix} 3& 1 & 2 \end{bmatrix}$. Which of the following statements are true? $x^Tx$ is a $3\times 3$ matrix $xx^T$ is a $3\times 3$ matrix $xx^T$ is a $1\times 1$ matrix $xx^T=x^Tx$

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

163 views

0 votes

1 answer

7

CMI-2018-DataScience-A: 4
A $n\times n$ matrix $A$ is said to be $symmetric$ if $A^T=A$. Suppose $A$ is an arbitrary $2\times 2$ matrix. Then which of the following matrices are symmetric (here $0$ denotes the $2\times 2$ matrix consisting of zeros): $A^TA$ $\begin{bmatrix} 0&A^T \\ A & 0 \end{bmatrix}$ $AA^T$ $\begin{bmatrix} A & 0 \\ 0 & A^T \end{bmatrix}$

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

158 views

0 votes

2 answers

8

CMI-2018-DataScience-B: 2
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. Suppose $A,B$ and $C$ are $m\times m$ matrices. What does the following algorithm compute? (Here $A(i,j)$ ... .) for i=1 to m for j=1 to m for k=1 to m C(i,j)=A(i,k)*B(k,j)+C(i,j) end end end

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

91 views

0 votes

1 answer

9

CMI-2018-DataScience-B: 4
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. In computing, a floating point operation (flop) is any one of the following operations ... . How does this number change if both the matrices are upper triangular?

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

73 views

0 votes

1 answer

10

CMI-2018-DataScience-B: 17
$\text{Description for the following question:}$ A golf club has $m$ members with serial numbers $1,2,\dots ,m$. If members with serial numbers $i$ and $j$ are friends, then $A(i,j)=A(j,i)=1,$ otherwise $A(i,j)=A(j,i)=0.$ By ... $1$ and member $2$ have at least one friend in common.

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

51 views

0 votes

1 answer

11

CMI-2018-DataScience-B: 18
$\text{Description for the following question:}$ A golf club has $m$ members with serial numbers $1,2,\dots ,m$. If members with serial numbers $i$ and $j$ are friends, then $A(i,j)=A(j,i)=1,$ otherwise $A(i,j)=A(j,i)=0.$ ... Then which of the following are necessarily true? Give reasons. $A^2(i,i)>0$ for all $i,\;1\underline< i \underline < m.$

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

86 views

0 votes

1 answer

12

CMI-2018-DataScience-B: 19
$\text{Description for the following question:}$ A golf club has $m$ members with serial numbers $1,2,\dots ,m$. If members with serial numbers $i$ and $j$ are friends, then $A(i,j)=A(j,i)=1,$ otherwise $A(i,j)=A(j,i)=0.$ ... $A^4(1,3)=0$. Then which of the following are necessarily true? Give reasons. $m\underline < 9$

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

39 views

0 votes

1 answer

13

CMI-2018-DataScience-B: 20
$\text{Description for the following question:}$ A golf club has $m$ members with serial numbers $1,2,\dots ,m$. If members with serial numbers $i$ and $j$ are friends, then $A(i,j)=A(j,i)=1,$ otherwise $A(i,j)=A(j,i)=0.$ ... $A^4(1,3)=0$. Then which of the following are necessarily true? Give reasons. $m\underline> 6$

soujanyareddy13 asked in Others Jan 29

by soujanyareddy13

49 views

1 vote

2 answers

14

CMI-2020-DataScience-B: 2
Consider the matrix $A=\begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$. Find $A^n,$ in terms of $n,$ for $n\geq2.$

soujanyareddy13 asked in Linear Algebra Jan 29

by soujanyareddy13

232 views

2 votes

1 answer

15

GATE Chemical 2020 | GA Question: 9
For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is ________ $0$ $6$ $12$ $16$

soujanyareddy13 asked in Quantitative Aptitude Nov 16, 2020

by soujanyareddy13

202 views

Page:

1
2
3
4
5
6
...
11
next »

Follow @gateoverflow

GATE Overflow

Recent questions tagged matrices

Search GATE Overflow