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Recent questions in Linear Algebra
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Matrices, determinants,
System of linear equations,
Eigenvalues and eigenvectors,
LU decomposition.
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1
GATE 2017 (EC) Eigen Value
For the given matrix $A$, one of the Eigenvalue is real $A=\begin{bmatrix} 1 &2 &3 &4 &5 \\ 5 &1 &2 &3 &4 \\ 4&5 &1 &2 &3 \\ 3&4 &5 &1 &2 \\ 2 &3 &4 &5 &1 \end{bmatrix}$ The real Eigen value is: $A)2.5$ $B)0$ $C)15$ $D)25$
asked
3 hours
ago
in
Linear Algebra
by
Lakshman Patel RJIT
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9.6k
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11
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engineeringmathematics
linearalgebra
matrix
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0
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2
Virtual test
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2 days
ago
in
Linear Algebra
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Prince Sindhiya
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3.6k
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19
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virtualgate
testseries
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3
virtual gate
asked
3 days
ago
in
Linear Algebra
by
Prince Sindhiya
Active
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3.6k
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11
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virtualgate
testseries
0
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0
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4
virtual gate test linear algebra
asked
3 days
ago
in
Linear Algebra
by
Prince Sindhiya
Active
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3.6k
points)

22
views
virtualgate
testseries
0
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0
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5
number of linearly indendent eigen vectors
asked
4 days
ago
in
Linear Algebra
by
MIRIYALA JEEVAN KUMA
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2.2k
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21
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linearalgebra
eigenvalue
0
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1
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6
Work book
asked
Oct 6
in
Linear Algebra
by
abhishekmehta4u
Boss
(
23.9k
points)

33
views
0
votes
1
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7
Test series
asked
Oct 5
in
Linear Algebra
by
abhishekmehta4u
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23.9k
points)

53
views
eigenvalue
0
votes
0
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8
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/gate20025a This question, https://gateoverflow.in/1174/gate200549 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
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1.3k
points)

31
views
linearalgebra
engineeringmathematics
eigenvalue
+1
vote
1
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9
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 _______.
asked
Oct 4
in
Linear Algebra
by
Mk Utkarsh
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20.1k
points)

90
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linearalgebra
eigenvalue
+1
vote
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10
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??
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Oct 3
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Linear Algebra
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eyeamgj
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16
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systemofequations
0
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1
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11
Linear Algebra RGPV 2001
Test the consistency of the following system of equations and solve if possible $3x + 3y +2z = 1$ $x + 2y = 4$ $10y + 3z = 2$ $2x  3y z = 5$
asked
Sep 29
in
Linear Algebra
by
Mk Utkarsh
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20.1k
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42
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linearalgebra
engineeringmathematics
systemofequations
0
votes
1
answer
12
Hk Dass Linear Algebra
Test the consistency of the following system of equations $5x + 3y + 7z = 4 $ $3x + 26y + 2z = 9$ $7x + 2y + 10z = 5$
asked
Sep 29
in
Linear Algebra
by
Mk Utkarsh
Boss
(
20.1k
points)

25
views
linearalgebra
systemofequations
+3
votes
2
answers
13
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
Junior
(
863
points)

54
views
matrices
eigenvalue
0
votes
1
answer
14
Linear system of equations
asked
Sep 16
in
Linear Algebra
by
Na462
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6.4k
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22
views
engineeringmathematics
linearalgebra
systemofequations
+1
vote
0
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15
linear algebra
asked
Sep 13
in
Linear Algebra
by
Rohit Kumar 2
(
285
points)

15
views
0
votes
0
answers
16
rank of matrix
how is A will have m1 linearly independent rows and m1 linearly independent columns?
asked
Sep 10
in
Linear Algebra
by
Rohit Kumar 2
(
285
points)

18
views
0
votes
1
answer
17
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
in
Linear Algebra
by
Siddharth Bhardawaj
Active
(
1k
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22
views
0
votes
1
answer
18
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
in
Linear Algebra
by
I_am_winner
(
441
points)

19
views
0
votes
1
answer
19
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
in
Linear Algebra
by
suparna kar
(
87
points)

33
views
engineeringmathematics
linearalgebra
0
votes
1
answer
20
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
in
Linear Algebra
by
srestha
Veteran
(
98.4k
points)

23
views
poset
lattice
0
votes
0
answers
21
Btech
Symmetrical question
asked
Aug 19
in
Linear Algebra
by
S. Sindhu
(
7
points)

12
views
0
votes
1
answer
22
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
in
Linear Algebra
by
suparna kar
(
87
points)

37
views
eigenvalue
usergate2015
usermod
0
votes
0
answers
23
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
(
167
points)

20
views
0
votes
1
answer
24
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
in
Linear Algebra
by
suparna kar
(
87
points)

53
views
eigenvalue
0
votes
0
answers
25
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)

36
views
gate20161
linearalgebra
eigenvalue
+1
vote
1
answer
26
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
in
Linear Algebra
by
Ashwashil Lanjewar
(
41
points)

23
views
matrixeigenvector
0
votes
0
answers
27
Gate2016
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)

20
views
0
votes
1
answer
28
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
in
Linear Algebra
by
Ashwashil Lanjewar
(
41
points)

30
views
+1
vote
2
answers
29
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
in
Linear Algebra
by
suparna kar
(
87
points)

50
views
0
votes
0
answers
30
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8
in
Linear Algebra
by
pankaj_vir
Loyal
(
9.6k
points)

32
views
engineeringmathematics
linearalgebra
matrices
matrix
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