Recent questions in Linear Algebra

0 votes

1 answer

1

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.

asked Sep 4, 2018 in Linear Algebra by Siddharth Bhardawaj Junior (929 points) 13 views

0 votes

1 answer

2

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

asked Aug 31, 2018 in Linear Algebra by I_am_winner (403 points) 14 views

0 votes

1 answer

3

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 ____

asked Aug 23, 2018 in Linear Algebra by suparna kar (69 points) 22 views

0 votes

1 answer

4

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?

asked Aug 23, 2018 in Linear Algebra by srestha Veteran (94k points) 13 views

0 votes

0 answers

5

B-tech
Symmetrical question

asked Aug 19, 2018 in Linear Algebra by S. Sindhu (7 points) 12 views

0 votes

1 answer

6

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

asked Aug 18, 2018 in Linear Algebra by suparna kar (69 points) 21 views

0 votes

0 answers

7

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, 2018 in Linear Algebra by Shivangi Parashar 2 (63 points) 16 views

0 votes

1 answer

8

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

asked Aug 17, 2018 in Linear Algebra by suparna kar (69 points) 41 views

0 votes

1 answer

9

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, 2018 in Linear Algebra by suparna kar (69 points) 20 views

0 votes

1 answer

10

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

asked Aug 16, 2018 in Linear Algebra by Ashwashil Lanjewar (25 points) 18 views

0 votes

0 answers

11

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

asked Aug 15, 2018 in Linear Algebra by lg (33 points) 16 views

0 votes

1 answer

12

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

asked Aug 10, 2018 in Linear Algebra by Ashwashil Lanjewar (25 points) 27 views

+1 vote

2 answers

13

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

asked Aug 9, 2018 in Linear Algebra by suparna kar (69 points) 49 views

0 votes

0 answers

14

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

asked Aug 8, 2018 in Linear Algebra by pankaj_vir Loyal (9.3k points) 14 views

0 votes

2 answers

15

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, 2018 in Linear Algebra by pankaj_vir Loyal (9.3k points) 55 views

0 votes

1 answer

16

#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 _____________?

asked Aug 7, 2018 in Linear Algebra by Rustam Ali Junior (607 points) 30 views

0 votes

0 answers

17

Kenneth Rosen 2.1
Determine True or False $a)x\varepsilon \left \{ x \right \}$ $b)\left \{ x \right \}\subseteq \left \{ x \right \}$ $c)\left \{ x \right \}\varepsilon \left \{ x \right \}$

asked Jul 13, 2018 in Linear Algebra by srestha Veteran (94k points) 37 views

0 votes

1 answer

18

ugc net 2018 july-10

asked Jul 8, 2018 in Linear Algebra by pream sagar (385 points) 144 views

0 votes

0 answers

19

orthogonal matrix
Is the determinent of both the orthogonal and orthonormal is +-1?for orthonormal im always getting +-1 but for orthogonal its always +-C,not 1,C=mag of the vector matrix

asked Jul 8, 2018 in Linear Algebra by Ankush Saha (7 points) 25 views

0 votes

1 answer

20

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, 2018 in Linear Algebra by ZeroFriction (15 points) 70 views

+1 vote

1 answer

21

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, 2018 in Linear Algebra by pbhati (35 points) 29 views

0 votes

0 answers

22

Matrix multiplication- Gilbert strang
Multiple Interpretations of Matrix Multiplications Say we are multiplying two matices A B = C. Multiple ways to interpret this operation: Row-wise approach: Ci = Ai B. Rows of C are linear combinations of rows in B Column multiplied by rows: ... of A and ith row of B! I am unable to understand these two ways as mentioned in gibert strang book and video ?

asked Jun 2, 2018 in Linear Algebra by Sandy Sharma Junior (693 points) 46 views

0 votes

0 answers

23

Gilbert Strang - Real Symmetric Matrices

asked Jun 2, 2018 in Linear Algebra by ankitgupta.1729 Loyal (7.1k points) 40 views

0 votes

3 answers

24

Made easy test
Consider the rank of matrix $'A'$ of size $(m \times n)$ is $"m-1"$. Then, which of the following is true? $AA^T$ will be invertible. $A$ have $"m-1"$ linearly independent rows and $"m-1"$ linearly ... $"n"$ linearly independent columns. $A$ will have $"m-1"$ linearly independent rows and $"n-1"$ independent columns.

asked May 31, 2018 in Linear Algebra by saumya mishra Active (1.2k points) 110 views

+1 vote

1 answer

25

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/gate2008-it-29

asked May 30, 2018 in Linear Algebra by srestha Veteran (94k points) 90 views

0 votes

1 answer

26

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, 2018 in Linear Algebra by VIDYADHAR SHELKE 1 (111 points) 59 views

0 votes

1 answer

27

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, 2018 in Linear Algebra by saumya mishra Active (1.2k points) 64 views

+1 vote

3 answers

28

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, 2018 in Linear Algebra by srestha Veteran (94k points) 208 views

0 votes

0 answers

29

asked May 20, 2018 in Linear Algebra by mehul vaidya Active (1.7k points) 41 views

0 votes

0 answers

30

Vector
https://www.youtube.com/watch?v=3SkCNpFOshk In this lecture , can somebody define in 2nd question why $X_{1}+X_{2}\notin V_{1}\cup V_{2}$? I cannot understand the proof

asked May 17, 2018 in Linear Algebra by srestha Veteran (94k points) 29 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 in Linear Algebra

Recent Posts

Recent Blog Comments