Recent questions and answers in Linear Algebra

0 votes

0 answers

1

virtual gate

asked 15 hours ago in Linear Algebra by Prince Sindhiya Active (3.6k points) | 4 views

0 votes

0 answers

2

virtual gate test linear algebra

asked 16 hours ago in Linear Algebra by Prince Sindhiya Active (3.6k points) | 16 views

0 votes

0 answers

3

number of linearly indendent eigen vectors

asked 1 day ago in Linear Algebra by MIRIYALA JEEVAN KUMA Active (2.1k points) | 15 views

+6 votes

4 answers

4

GATE1987-1-xxi
If $a, b,$ and $c$ are constants, which of the following is a linear inequality? $ax+bcy=0$ $ax^{2}+cy^{2}=21$ $abx+a^{2}y \geq 15$ $xy+ax \geq 20$

answered 4 days ago in Linear Algebra by rohittulasyan (99 points) | 536 views

+18 votes

3 answers

5

GATE2004-27
Let $A, B, C, D$ be $n \times n$ matrices, each with non-zero determinant. If $ABCD = I$, then $B^{-1}$ is $D^{-1}C^{-1}A^{-1}$ $CDA$ $ADC$ Does not necessarily exist

answered 6 days ago in Linear Algebra by Syeda97 (29 points) | 2.1k views

+9 votes

3 answers

6

GATE1996-2.6
The matrices $\begin{bmatrix} \cos\theta && -\sin\theta \\ \sin\theta && \cos\theta \end{bmatrix}$ and $\begin{bmatrix} a && 0\\ 0&& b \end{bmatrix}$ commute under multiplication if $a=b \text{ or } \theta = n\pi, n$ an integer always never if $a \cos\theta = b \sin\theta$

answered 6 days ago in Linear Algebra by rohittulasyan (99 points) | 603 views

0 votes

1 answer

7

Work book

answered Oct 6 in Linear Algebra by Mk Utkarsh Boss (19.5k points) | 29 views

0 votes

0 answers

8

Test series

asked Oct 5 in Linear Algebra by abhishekmehta4u Boss (23.9k points) | 42 views

+14 votes

4 answers

9

GATE2002-5a
Obtain the eigen values of the matrix $$A=\begin {bmatrix} 1 & 2 & 34 & 49 \\ 0 & 2 & 43 & 94 \\ 0 & 0 & -2 & 104 \\ 0 & 0 & 0 & -1 \end{bmatrix}$$

answered Oct 5 in Linear Algebra by air1ankit Active (3.8k points) | 545 views

0 votes

0 answers

10

Linear Algebra
We know, the eigen value for upper triangular/lower triangular/diagonal matrices are the diagonal elements of the matrix. https://gateoverflow.in/858/gate2002-5a This question, https://gateoverflow.in/1174/gate2005-49 If apply row transformation to convert it ... make the given matrix to upper triangular matrix, so that eigen values will be equal to the elements in the diagonals?

asked Oct 5 in Linear Algebra by Swapnil Naik Active (1.2k points) | 27 views

+1 vote

1 answer

11

GATE2016 37 Mathematics
Let $M = \begin{bmatrix} a & b &c \\ b &d & e\\ c & e & f \end{bmatrix}$ be a real matrix with eigenvalues 1, 0 and 3. If the eigenvectors corresponding to 1 and 0 are $\left ( 1,1,1 \right )^T$ and $\left ( 1,-1, 0 \right )^T$ respectively, then the value of 3f is equal to _______.

answered Oct 4 in Linear Algebra by MiNiPanda Boss (14.7k points) | 85 views

+1 vote

0 answers

12

SELF DOUBT
consider a system of linear equation where AMxN XNx1 =BMx1 TRUE OR FALSE Q1 IF B=0 AND DETERMINENT OF A i.e |A| IS NOT EQUAL TO ZERO THEN IT MEANS UNIQUE SOLUTION?? Q2 IF B NOT EQUAL TO 0 AND DETERMINENT OF A i.e |A| IS NOT EQUAL TO ZERO THEN IT MEANS INFINITE MANY SOLUTION SOLUTION?? Q3 IF B IS NOT EQUAL TO 0 AND M<N THEN IT MEANS NO UNIQUE SOLUTION??

asked Oct 3 in Linear Algebra by eyeamgj Active (5k points) | 15 views

+2 votes

1 answer

13

GATE 2017: Maths: LA
Is manual calculation required to solve this question, or there is some properties can be applied here, btw please solve it.

answered Oct 2 in Linear Algebra by ami (29 points) | 288 views

0 votes

1 answer

14

Linear Algebra RGPV 2001
Test the consistency of the following system of equations and solve if possible $3x + 3y +2z = 1$ $x + 2y = 4$ $10y + 3z = -2$ $2x - 3y -z = 5$

answered Sep 30 in Linear Algebra by srestha Veteran (98.3k points) | 39 views

+17 votes

4 answers

15

GATE2015-3-33
If the following system has non-trivial solution, $px + qy + rz = 0$ $qx + ry + pz = 0$ $rx + py + qz = 0$, then which one of the following options is TRUE? $p - q + r = 0 \text{ or } p = q = -r$ $p + q - r = 0 \text{ or } p = -q = r$ $p + q + r = 0 \text{ or } p = q = r$ $p - q + r = 0 \text{ or } p = -q = -r$

answered Sep 29 in Linear Algebra by Mk Utkarsh Boss (19.5k points) | 1.9k views

0 votes

1 answer

16

Hk Dass Linear Algebra
Test the consistency of the following system of equations $5x + 3y + 7z = 4 $ $3x + 26y + 2z = 9$ $7x + 2y + 10z = 5$

answered Sep 29 in Linear Algebra by arvin Loyal (9.4k points) | 24 views

+3 votes

2 answers

17

Eigen Value
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix

answered Sep 27 in Linear Algebra by Priyanka Singh 6 (19 points) | 48 views

+1 vote

3 answers

18

Gate CE 2005 linear algebra
Consider a non- homogeneous system of linear equations representing mathematically an over determined system. Such a system will be (A) consistent having a unique solution (B) consistent having many solutions (C) inconsistent having a unique solution (D) inconsistent having no solution

answered Sep 23 in Linear Algebra by Deepakk Poonia (Dee) Boss (18.7k points) | 376 views

0 votes

1 answer

19

Linear system of equations

answered Sep 16 in Linear Algebra by abhishekmehta4u Boss (23.9k points) | 21 views

+1 vote

0 answers

20

linear algebra

asked Sep 13 in Linear Algebra by Rohit Kumar 2 (285 points) | 14 views

0 votes

0 answers

21

rank of matrix
how is A will have m-1 linearly independent rows and m-1 linearly independent columns?

asked Sep 10 in Linear Algebra by Rohit Kumar 2 (285 points) | 17 views

0 votes

1 answer

22

linear algebra
If the entries in each column of a square matrix M add up to 1, then an Eigen value of M is a) 4 b) 3 c) 2 d) 1 Explain briefly.

answered Sep 4 in Linear Algebra by ank73811 Junior (763 points) | 21 views

0 votes

1 answer

23

test series ace
please explain all relationship between determinant and determinant of adjoint and so on and also how to derive them in run time during exam if I forget

answered Aug 31 in Linear Algebra by anuj300998 (19 points) | 18 views

0 votes

1 answer

24

Engineering Maths
If A = $\begin{bmatrix} -1 & 1 & 0 \\ 0 & 2 &-2 \\ 0& 0 & 3 \end{bmatrix}$ then trace of the matrix 3A2 + adj A is ____

answered Aug 23 in Linear Algebra by Mk Utkarsh Boss (19.5k points) | 32 views

0 votes

1 answer

25

Chain
Consider F be a family of all subsets of set {1, 2, 3, ..... 100} that contain atleast 50 numbers, partially ordered with respect to containment. Then maximum size of chains in the Poset (F, ⊆) that cover F is ________. ------------------------------------------------------------------------------------------------------------------------------- Answer given 51 but why not 100?

answered Aug 23 in Linear Algebra by ank73811 Junior (763 points) | 21 views

0 votes

0 answers

26

B-tech
Symmetrical question

asked Aug 19 in Linear Algebra by S. Sindhu (7 points) | 11 views

0 votes

1 answer

27

Gate 2015 CE set 2
The two eigen values of the matrix $\begin{bmatrix} 2 & 1\\ 1& p \end{bmatrix}$ have a ratio of 3:1 for p= 2. What is another value of p for which eigenvalues have the same ratio of 3:1? A)-2 b) 1 c) 7/3 d)14/3

answered Aug 18 in Linear Algebra by MiNiPanda Boss (14.7k points) | 36 views

0 votes

0 answers

28

Eigen vector
Is it true that if we have 3 distinct eigen vectors x,y and z than x,y and z would respectively be orthogonal to each other .Please elaborate

asked Aug 17 in Linear Algebra by Shivangi Parashar 2 (143 points) | 19 views

0 votes

1 answer

29

Gate 2016 CE Set 1
If the entries in each column of a square matrix M add up to 1, then an eigen value of M is A) 4 B) 3 C) 2 D) 1

answered Aug 17 in Linear Algebra by Shivani gaikawad Junior (523 points) | 52 views

0 votes

0 answers

30

Gate 2016 ME Set 2
The condition for which the eigen values of the matrix A = $\begin{pmatrix} 2 &1 \\ 1& k \end{pmatrix}$ are positive, is a) k>1/2 b) k>-2 c) k>0 d) k< -1/2

asked Aug 17 in Linear Algebra by suparna kar (87 points) | 35 views

+1 vote

1 answer

31

made easy ME previou year question
which on of the following is an eigenvector of the matrix [5 0 0 0 0 5 5 0 0 0 2 1 0 0 3 1] a) [1 -2 0 0 ]t b) [0 0 1 0]t c) [1 0 0 -2]t d) [1 -1 2 1]t

answered Aug 17 in Linear Algebra by Prince Sindhiya Active (3.6k points) | 21 views

0 votes

0 answers

32

Gate-2016
A 3×3 matrix p is such that,p^3=p. Then eigen values of p are

asked Aug 15 in Linear Algebra by lg (33 points) | 19 views

0 votes

1 answer

33

gate 2014
Two matrices A and B are given below: A= p q r s B= p2 + q2 pr + qs pr +qs r2 + s2 If the rank of matrix A is N, then the rank of matrix B is (A) N /2 (B) N-1 (C) N (D) 2 N

answered Aug 10 in Linear Algebra by arvin Loyal (9.4k points) | 29 views

+1 vote

2 answers

34

Engineering mathematics
if the sum of the diagonal elements of a 2x2 matrix is (-6) then the maximum possible value of determinant of the matrix is

answered Aug 9 in Linear Algebra by Deepanshu Active (3k points) | 49 views

0 votes

2 answers

35

Engineering Mathematics - Linear Algebra

answered Aug 9 in Linear Algebra by arvin Loyal (9.4k points) | 178 views

0 votes

0 answers

36

Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.

asked Aug 8 in Linear Algebra by pankaj_vir Loyal (9.5k points) | 28 views

0 votes

2 answers

37

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 $A^{-1}$.

answered Aug 8 in Linear Algebra by Rishabh Gupta 2 Boss (14.7k points) | 72 views

+3 votes

1 answer

38

TIFR-2015-Maths-A-1
Let $A$ be an invertible $10 \times 10$ matrix with real entries such that the sum of each row is $1$. Then The sum of the entries of each row of the inverse of $A$ is $1$. The sum of the entries of each column of the inverse of $A$ is $1$. The trace of the inverse of $A$ is non-zero. None of the above.

answered Aug 8 in Linear Algebra by Rishabh Gupta 2 Boss (14.7k points) | 128 views

0 votes

1 answer

39

#idempotent #matrix
If Matrix A and B are of same size and AB=B and BA=A. Then the value of $(A+B)^{5}$ is _____________?

answered Aug 8 in Linear Algebra by arvin Loyal (9.4k points) | 31 views

+29 votes

4 answers

40

GATE2017-1-31
Let $A$ be $n\times n$ real valued square symmetric matrix of rank 2 with $\sum_{i=1}^{n}\sum_{j=1}^{n}A^{2}_{ij} =$ 50. Consider the following statements. One eigenvalue must be in $\left [ -5,5 \right ]$ The eigenvalue with the largest ... greater than 5 Which of the above statements about eigenvalues of $A$ is/are necessarily CORRECT? Both I and II I only II only Neither I nor II

answered Jul 20 in Linear Algebra by Gyanu (57 points) | 3.8k views

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

Recent questions and answers in Linear Algebra

Recent Posts

Recent Blog Comments