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Recent questions and answers in Linear Algebra
0
votes
2
answers
SELF DOUBT: PREVIOUS GO
answered
20 hours
ago
in
Linear Algebra
by
SuvasishDutta
(
152
points)

32
views
0
votes
0
answers
MATHS PREVIOUS YEAR SELF DOUBT
https://gateoverflow.in/118618/gate2017252 SUPPOSE THE EIGEN VALUES AFTER SOLVING WOULD BE 2,6,4 then the largest among the absolute values of the eigenvalues of MM is _______? WILL THE ANSWER BE 6 BECAUSE LARGEST OF ABSOLUTE OF EIGEN VALUE IS 6 ? AM I DOING RIGHT?
asked
3 days
ago
in
Linear Algebra
by
eyeamgj
(
26
points)

9
views
0
votes
0
answers
ISRO 2007 qno. 9
Can some one please provide the solution to the problem given in the link: https://gateoverflow.in/49479/isro200709 Thank you
asked
6 days
ago
in
Linear Algebra
by
Pratyush Priyam Kuan
(
735
points)

13
views
#isro
#exam
#engineeringmaths
linearalgebra
eigenvector
0
votes
1
answer
Eigen vector self doubt
How are they getting [0,1,0] From the first row I’m getting x1=0 so x1=0 from the 2nd row x3=0 from 3rd row 2x1+x3=0 2x1=0 since x3=0 so x1=0 Where did i go wrong
answered
Jan 5
in
Linear Algebra
by
shashin
(
1.2k
points)

10
views
0
votes
1
answer
Maths Matrices
For the following set of simultaneous equations 1.5x – 0.5y +z =2 4x + 2y + 3z =9 7x + y +5z =10 The solution is unique infinitely many solutions exist the equations are incompatible finite many solutions exist Anyone please clarify.
answered
Jan 1
in
Linear Algebra
by
pranay562
(
875
points)

17
views
discrete_maths
engineeringmaths
discretemaths
0
votes
0
answers
ACE Practice Mock 2 Q22
can someone please explain to me how to find the no of independent eigenvectors?
asked
Dec 29, 2019
in
Linear Algebra
by
Khushboosahuu
(
6
points)

20
views
#gatepreparation
aceacademytestseries
#testseries
0
votes
0
answers
MadeEasy FULL SYLLABUS TEST1 (BASIC LEVEL) GATE 2020 Q49
asked
Dec 29, 2019
in
Linear Algebra
by
DukeThunders
(
402
points)

33
views
0
votes
0
answers
Ace Academy Full length Mock test 3 Q17
asked
Dec 21, 2019
in
Linear Algebra
by
ssap09
(
42
points)

10
views
aceacademytestseries
#gatepreparation
engineeringmathematics
linearalgebra
eigenvalue
0
votes
1
answer
Ace Practice questions Linear Algebra
If ‘A’ is a non singular matrix and $(IA+A^{2}.....+(1)^{n}A^{n})=0$ then $A^{1}$ = _______________
answered
Dec 13, 2019
in
Linear Algebra
by
amit166
(
138
points)

13
views
linearalgebra
engineeringmathematics
0
votes
0
answers
ACE Mock Test Sets
Question: One quarter of 5 element subsets of {1,2,3,4,….n} contain 7, then n = ? My answer: $\frac{C(n1,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 20$ Given answer: $\frac{C(n,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 24$ I think I am correct because once we consider 7 as an element we can choose only 4 remaining elements, but can you please confirm the same?
asked
Dec 5, 2019
in
Linear Algebra
by
tamaldeepmaity
(
16
points)

7
views
engineeringmathematics
settheory
0
votes
0
answers
#math test questions
solve this
asked
Dec 5, 2019
in
Linear Algebra
by
amit166
(
138
points)

5
views
eigenvector
0
votes
0
answers
#doubt in linear algebra
# Eigenvectors of real symmetric matrices are orthogonal .
asked
Dec 5, 2019
in
Linear Algebra
by
amit166
(
138
points)

5
views
linearalgebra
0
votes
0
answers
MOCK TESTS GATEFORUM
The matrix A has (1, 2, 1)^T and (1, 1, 0)^T as eigenvectors, both with eigenvalue 7, and its trace is 2. The determinant of A is __________ . (A) 84 (B) 588 (C) 49 (D) None of these
asked
Dec 3, 2019
in
Linear Algebra
by
Dipanshu Rana
(
34
points)

5
views
0
votes
1
answer
GATE GURU:LINEAR ALGEBRA
answered
Nov 14, 2019
in
Linear Algebra
by
Verma Ashish
(
386
points)

32
views
linearalgebra
0
votes
1
answer
GATE GURU: LA
How to approach these kind of sums? A9 means $A^9$
answered
Nov 10, 2019
in
Linear Algebra
by
Satbir
(
4.1k
points)

26
views
engineeringmaths
0
votes
0
answers
Gate 2014 IN
A scalar valued function is defined as $F(X)=X^{T}AX+B^{T}X+C$ where A is symmetric positive definite matrix with dimension n*n; B and X are vector of dimension n *1.the minimum value of f(X) will occur when X Equal.
asked
Nov 10, 2019
in
Linear Algebra
by
amit166
(
138
points)

8
views
linearalgebra
0
votes
0
answers
Gate 2014 EE
$A=\begin{bmatrix} & 0 &1&1& \\ & 6&11&6& \\ & 6&11&5 & \end{bmatrix}$ The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is
asked
Nov 10, 2019
in
Linear Algebra
by
amit166
(
138
points)

14
views
eigenvalue
value
0
votes
0
answers
ACE Test Series: Matrix
If $Adj$ $A=\begin{bmatrix} 18 &11&10 \\ 2 & 14 &4 \\ 4 & 5 & 8 \end{bmatrix}$, then absolute value of determinant of $A$ is __________
asked
Nov 10, 2019
in
Linear Algebra
by
srestha
(
635
points)

17
views
engineeringmaths
0
votes
0
answers
Gate 98 CE questions
The real symmetric matrix C corresponding to the quadratic form $Q=x_{1}x_{2}5x_{2}x_{2}$ is
asked
Nov 9, 2019
in
Linear Algebra
by
amit166
(
138
points)

4
views
symmetric
0
votes
0
answers
homogeneous linear equation doubt
I have a doubt it may be simple but I am not able to understand . so, please help In homogeneous linear equation if r is the rank of the matrix. We know that row rank=column rank=rank of the matrix. My doubt is here the number of ... so number of independent variable is r .so how is the number of independent solutions is nr. Please someone clear this doubt .
asked
Nov 1, 2019
in
Linear Algebra
by
Pratyush Priyam Kuan
(
735
points)

18
views
linearalgebra
engineeringmathematics
0
votes
1
answer
GRADE UP: FREE test
answered
Oct 22, 2019
in
Linear Algebra
by
Verma Ashish
(
386
points)

28
views
0
votes
1
answer
GATE GURU TEST SERIES: LINEAR ALGEBRA
answered
Oct 21, 2019
in
Linear Algebra
by
Satbir
(
4.1k
points)

37
views
linearalgebra
0
votes
1
answer
MADE EASY: LINEAR ALGEBRA
answered
Oct 21, 2019
in
Linear Algebra
by
GAITONDE
(
1.6k
points)

18
views
linearalgebra
0
votes
0
answers
Testbook Test series: Linear algebra
Let M be a 3 x 3 matrix such that M$\begin{pmatrix} 2\\ 1\\ 0 \end{pmatrix}$=$\begin{pmatrix} 6\\ 3\\ 0 \end{pmatrix}$ and suppose that $M^{3}$\begin{pmatrix} 1\\ 1/2\\ 0 \end{pmatrix}$=$\begin{pmatrix} \alpha\\ \beta\\ \gamma\\ \end{pmatrix}$ for some $\alpha$,$\beta$,$\gamma$ $\epsilon$ R. Then $\alpha$ is equal to:
asked
Oct 16, 2019
in
Linear Algebra
by
Kushagra गुप्ता
(
175
points)

31
views
linearalgebra
engineeringmathematics
0
votes
1
answer
Gate 2007  IN
$\\ A\ is\ n*n \ matrix \ such \ that \ A^2=I \ and B \ is \ n*1 \ real \ \\vector \ then \ Ax=B \ has \\ \\ a) no \ solution \\ b) unique \ solution\\ c) infinitely \ many \ solution\\ d) none$
answered
Sep 23, 2019
in
Linear Algebra
by
aditi19
(
55
points)

12
views
engineeringmathematics
linearalgebra
0
votes
2
answers
Nullity of a matrix
Answer is given as 1. Please show the solution. Thank you.
answered
Sep 23, 2019
in
Linear Algebra
by
aditi19
(
55
points)

17
views
0
votes
0
answers
Self doubt in matrices.
A hermitian matrix can be similar to a non hermitian matrix . (True or false)?
asked
Sep 17, 2019
in
Linear Algebra
by
Eleph knaught
(
7
points)

15
views
linearalgebra
0
votes
0
answers
CSIR / UGC NET  Linear Algebra
Let A be a 3x3 real matrix. Suppose 1 and 1 are two of the three Eigen values of A and 18 is one of the Eigen values of $A^2 + 3A$. Then. a) Both A and $A^2 + 3A$ are invertible b) $A^2 + 3A$ is invertible but A is not c) A is invertible but $A^2 + 3A$ is not d) Both A and $A^2 + 3A$ are not invertible
[closed]
asked
Sep 11, 2019
in
Linear Algebra
by
Kushagra गुप्ता
(
175
points)

7
views
engineeringmathematics
linearalgebra
ugcnet
0
votes
0
answers
Linear algebra by Fuzhen Zhang
Find the value of $t$ for which the following matrix has rank $3$. $\begin{pmatrix} t & 1& 1& 1 \\ 1 & t & 1& 1 \\ 1 & 1 & t & 1 \\ 1 & 1 & 1 & t \end{pmatrix}$
asked
Sep 7, 2019
in
Linear Algebra
by
Eleph knaught
(
7
points)

16
views
linearalgebra
0
votes
2
answers
Please suggest how many nd wht topic to study in group theory for gate?
answered
Aug 28, 2019
in
Linear Algebra
by
Bikram
(
1.2k
points)

20
views
0
votes
0
answers
Eigen Value of Symmetric Matrix vs Real Symmetric Matrix
asked
Aug 19, 2019
in
Linear Algebra
by
nadeshseen
(
43
points)

10
views
vectorspaces
engineeringmaths
0
votes
1
answer
number of linearly independent eigen vectors
The number of linearly independent eigen vectors of $\begin{pmatrix} 2 & 1\\ 0 & 2 \end{pmatrix}$ The answer is 1. Please show the solution. Thank you.
answered
Aug 11, 2019
in
Linear Algebra
by
Satbir
(
4.1k
points)

14
views
0
votes
0
answers
Group theory  order of non abelian
Let G be a non abelian group, order of G can be 24 44 54 34 Can someone explain ?
asked
Aug 8, 2019
in
Linear Algebra
by
user2525
(
1.6k
points)

9
views
discrete_maths
#group
0
votes
0
answers
#madeeasy testseries
Caption
asked
Jul 20, 2019
in
Linear Algebra
by
Pradeep Verma
(
10
points)

10
views
0
votes
1
answer
ace test series self doubt
Are eigen vectors linearly dependent if we get the same eigen values??Please explain through an example
answered
Jul 10, 2019
in
Linear Algebra
by
Verma Ashish
(
386
points)

18
views
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