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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 2014 IN
asked
May 12
in
Linear Algebra
by
Aishvarya Akshaya Vi
(
35
points)

22
views
+1
vote
1
answer
2
ISI2018PCBA1
Consider a $n \times n$ matrix $A=I_n\alpha\alpha^T$, where $I_n$ is the $n\times n$ identity matrix and $\alpha$ is an $n\times 1$ column vector such that $\alpha^T\alpha=1$.Show that $A^2=A$.
asked
May 12
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

30
views
isi2018pcba
engineeringmathematics
linearalgebra
matrices
descriptive
0
votes
1
answer
3
ISI2018MMA14
Let $A$ be a $3× 3$ real matrix with all diagonal entries equal to $0$. If $1 + i$ is an eigenvalue of $A$, the determinant of $A$ equals $4$ $2$ $2$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

38
views
isi2018
engineeringmathematics
linearalgebra
eigenvalue
determinant
0
votes
1
answer
4
ISI2018MMA13
If $A =\begin{bmatrix} 2 &i \\ i & 0 \end{bmatrix}$ , the trace of $A^{10}$ is $2$ $2(1+i)$ $0$ $2^{10}$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

27
views
isi2018
engineeringmathematics
linearalgebra
determinant
0
votes
2
answers
5
ISI2018MMA12
The rank of the matrix $\begin{bmatrix} 1 &2 &3 &4 \\ 5& 6 & 7 & 8 \\ 6 & 8 & 10 & 12 \\ 151 & 262 & 373 & 484 \end{bmatrix}$ $1$ $2$ $3$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

49
views
isi2018
engineeringmathematics
linearalgebra
rankofmatrix
0
votes
1
answer
6
ISI2019MMA23
Let $A$ be $2 \times 2$ matrix with real entries. Now consider the function $f_A(x)$ = $Ax$ . If the image of every circle under $f_A$ is a circle of the same radius, then A must be an orthogonal matrix A must be a symmetric matrix A must be a skewsymmetric matrix None of the above must necessarily hold
asked
May 7
in
Linear Algebra
by
Sayan Bose
Loyal
(
6.9k
points)

100
views
isi2019
engineeringmathematics
linearalgebra
0
votes
2
answers
7
ISI2019MMA15
The rank of the matrix $\begin{bmatrix} 0 &1 &t \\ 2& t & 1\\ 2& 2 & 0 \end{bmatrix}$ equals $3$ for any real number $t$ $2$ for any real number $t$ $2$ or $3$ depending on the value of $t$ $1,2$ or $3$ depending on the value of $t$
asked
May 7
in
Linear Algebra
by
Sayan Bose
Loyal
(
6.9k
points)

136
views
isi2019
linearalgebra
engineeringmathematics
0
votes
1
answer
8
ISI2019MMA14
If the system of equations $\begin{array} ax +y+z= 0 \\ x+by +z = 0 \\ x+y + cz = 0 \end{array}$ with $a,b,c \neq 1$ has a non trivial solutions, the value of $\frac{1}{1a} + \frac{1}{1b} + \frac{1}{1c}$ is $1$ $1$ $3$ $3$
asked
May 7
in
Linear Algebra
by
Sayan Bose
Loyal
(
6.9k
points)

98
views
isi2019
linearalgebra
systemofequations
0
votes
2
answers
9
ISI2019MMA13
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is $8$ $10$ $12$ $14$
asked
May 6
in
Linear Algebra
by
Sayan Bose
Loyal
(
6.9k
points)

155
views
isi2019
engineeringmathematics
linearalgebra
0
votes
0
answers
10
CSIR UGC NET
asked
Apr 28
in
Linear Algebra
by
Hirak
Active
(
2k
points)

33
views
liner
linearalgebra
eigenvalue
matrixinversion
matrices
0
votes
0
answers
11
Made Easy Engineering Maths book
The ans given is b, but i am not able to understande why. According to me the largest eigen value is 2, and therefore none of the option matches..!
asked
Apr 27
in
Linear Algebra
by
Hirak
Active
(
2k
points)

47
views
+2
votes
1
answer
12
Vani Institute Question Bank Pg231 chapter 6
The Eigen values of $A=\begin{bmatrix} a& 1& 0\\1 &a &1 \\0 &1 &a \end{bmatrix}$ are______ $a,a,a$ $0,a,2a$ $a,2a,2a$ $a,a+\sqrt{2},a\sqrt{2}$
asked
Apr 25
in
Linear Algebra
by
Hirak
Active
(
2k
points)

71
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
13
ISIMMA201544
Let $P_{1},P_{2},$ and $P_{3}$ denote, respectively, the planes defined by $a_{1}x + b_{1}y + c_{1}z = \alpha _{1}$ $a_{2}x + b_{2}y + c_{2}z = \alpha _{2}$ $a_{3}x + b_{3}y + c_{3}z = \alpha _{3}$ It is given ... then the planes (A) do not have any common point of intersection (B) intersect at a unique point (C) intersect along a straight line (D) intersect along a plane
asked
Feb 22
in
Linear Algebra
by
ankitgupta.1729
Boss
(
11.3k
points)

76
views
engineeringmathematics
linearalgebra
userisi2015
usermod
+3
votes
4
answers
14
GATE20199
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is nonzero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
400k
points)

1.7k
views
gate2019
engineeringmathematics
linearalgebra
determinant
+3
votes
3
answers
15
GATE201944
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
400k
points)

2.2k
views
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
16
Previous gate
asked
Jan 31
in
Linear Algebra
by
Hemanth_13
Loyal
(
6.6k
points)

75
views
eigenvalue
0
votes
0
answers
17
#math
asked
Jan 30
in
Linear Algebra
by
amit166
Junior
(
761
points)

29
views
engineeringmathematics
0
votes
0
answers
18
ace test series
how? please explain
asked
Jan 28
in
Linear Algebra
by
Vignaneswarkrishna
(
187
points)

45
views
0
votes
0
answers
19
Gate 2016 ee
Question number 249
asked
Jan 27
in
Linear Algebra
by
Vignaneswarkrishna
(
187
points)

39
views
+1
vote
1
answer
20
Nullity of matrix
Nullity of a matrix = Total number columns – Rank of that matrix By how to calculate value of x when nullity is already given(1 in this case)
asked
Jan 24
in
Linear Algebra
by
Nandkishor3939
Active
(
1.2k
points)

116
views
engineeringmathematics
linearalgebra
matrices
rankofmatrix
matrix
–1
vote
0
answers
21
acetest series
asked
Jan 21
in
Linear Algebra
by
Rajesh Panwar
Junior
(
605
points)

58
views
0
votes
1
answer
22
Simple Determinant
how to prove determinant 1 and 2 are same by some rowcolumn manipulation ,please Help??
asked
Jan 19
in
Linear Algebra
by
BHASHKAR
(
31
points)

51
views
linearalgebra
engineeringmathematics
matrices
0
votes
1
answer
23
Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,1. If $B=A^2A$ then B=? a)24 b)2 c)12 d)12 Please explain in detail.
asked
Jan 19
in
Linear Algebra
by
Reshu $ingh
(
369
points)

92
views
linearalgebra
matrix
eigenvalue
0
votes
1
answer
24
Ace Test Series 2019: Discrete Maths  Recurrence Relation
asked
Jan 17
in
Linear Algebra
by
Rajesh Panwar
Junior
(
605
points)

77
views
acetestseries
discretemathematics
recurrenceeqation
0
votes
1
answer
25
MadeEasy Full Length Test 2019: Engineering Mathematics  Linear Algebra
asked
Jan 16
in
Linear Algebra
by
roman_1997
(
163
points)

72
views
linearalgebra
engineeringmathematics
madeeasytestseries2019
madeeasytestseries
0
votes
0
answers
26
uppcl2018
need soln
[closed]
asked
Jan 11
in
Linear Algebra
by
SAUMYA2019
(
105
points)

23
views
0
votes
0
answers
27
made easy
The probability of a man hitting a target in one fire is 1/4 The number of times at least he must fire at the target in order that his chance of hitting the target at least once will exceed 2/3 will be _______.
asked
Jan 7
in
Linear Algebra
by
pream sagar
Active
(
2.7k
points)

108
views
+1
vote
0
answers
28
made easy
If 2, – 4 are the eigen values of a nonsingular matrix A and A = –8, then the eigen values of Adj A are x and –y then the value of x + y is _________.
asked
Jan 7
in
Linear Algebra
by
pream sagar
Active
(
2.7k
points)

75
views
0
votes
0
answers
29
Doubt on syllabus
Is LU decomposition in course for GATE 2019?
[closed]
asked
Jan 6
in
Linear Algebra
by
subho16
(
189
points)

42
views
engineeringmathematics
ludecomposition
linearalgebra
0
votes
0
answers
30
GATE 2008 C.E.
The eigen values of the matrix [P] = 4 5 are? 2 5 The answer for this is 6 and 5. My question is what wrong am I doing by R1 = R1 + R2 and converting it to lower triangular matrix. Answer after this is +6 and 5 i.e. sign of eigen values inverted.
asked
Jan 6
in
Linear Algebra
by
Barney Ross
(
315
points)

42
views
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