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Matrices, determinants,
System of linear equations,
Eigenvalues and eigenvectors,
LU decomposition.

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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)
11
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
engineeringmathematics
linearalgebra
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
poset
lattice
0
votes
0
answers
5
Btech
Symmetrical question
asked
Aug 19, 2018
in
Linear Algebra
by
S. Sindhu
(
7
points)
11
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
eigenvalue
usergate2015
usermod
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
eigenvalue
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
gate20161
linearalgebra
eigenvalue
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
matrixeigenvector
0
votes
0
answers
11
Gate2016
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) N1 (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
engineeringmathematics
linearalgebra
matrices
matrix
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
engineeringmathematics
linearalgebra
matrices
matrix
easy
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
settheory&algebra
discretemathematics
0
votes
1
answer
18
ugc net 2018 july10
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
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
+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
linearalgebra
engineeringmathematics
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: Rowwise 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
linearalgebra
gilbertstrang
matrix
engineeringmathematics
0
votes
3
answers
24
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, 2018
in
Linear Algebra
by
saumya mishra
Active
(
1.2k
points)
110
views
engineeringmathematics
linearalgebra
matrices
+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/gate2008it29
asked
May 30, 2018
in
Linear Algebra
by
srestha
Veteran
(
94k
points)
90
views
linearalgebra
matrices
engineeringmathematics
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
engineeringmathematics
linearalgebra
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
engineeringmathematics
linearalgebra
+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
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
29
related to previous year
can someone verify my answer given to this matrices question ? https://gateoverflow.in/3319/gate2008it29
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
vectorspace
engineeringmathematics
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