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Recent questions tagged eigen-value
2
votes
3
answers
31
NIELIT 2016 DEC Scientist B (IT) - Section B: 26
Two eigenvalues of a $3\times3$ real matrix $P$ are $(2+ \sqrt-1)$ and $3$. The determinant of $P$ is ________. $0$ $1$ $15$ $-1$
Lakshman Patel RJIT
asked
in
Linear Algebra
Mar 31, 2020
by
Lakshman Patel RJIT
559
views
nielit2016dec-scientistb-it
engineering-mathematics
linear-algebra
determinant
eigen-value
2
votes
1
answer
32
TIFR CSE 2020 | Part A | Question: 2
Let $M$ be a real $n\times n$ matrix such that for$ every$ non-zero vector $x\in \mathbb{R}^{n},$ we have $x^{T}M x> 0.$ Then Such an $M$ cannot exist Such $Ms$ exist and their rank is always $n$ Such $Ms$ exist, but their eigenvalues are always real No eigenvalue of any such $M$ can be real None of the above
Lakshman Patel RJIT
asked
in
Linear Algebra
Feb 10, 2020
by
Lakshman Patel RJIT
989
views
tifr2020
engineering-mathematics
linear-algebra
rank-of-matrix
eigen-value
7
votes
3
answers
33
ISI2015-MMA-39
The eigenvalues of the matrix $X = \begin{pmatrix} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 2 \end{pmatrix}$ are $1,1,4$ $1,4,4$ $0,1,4$ $0,4,4$
Arjun
asked
in
Linear Algebra
Sep 23, 2019
by
Arjun
713
views
isi2015-mma
linear-algebra
matrix
eigen-value
2
votes
2
answers
34
ISI2015-MMA-42
Let $\lambda_1, \lambda_2, \lambda_3$ denote the eigenvalues of the matrix $A \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos t & \sin t \\ 0 & - \sin t & \cos t \end{pmatrix}.$ If $\lambda_1+\lambda_2+\lambda_3 = \sqrt{2}+1$ ... $\{ - \frac{\pi}{4}, \frac{\pi}{4} \}$ $\{ - \frac{\pi}{3}, \frac{\pi}{3} \}$
Arjun
asked
in
Linear Algebra
Sep 23, 2019
by
Arjun
604
views
isi2015-mma
linear-algebra
matrix
eigen-value
2
votes
1
answer
35
ISI2015-MMA-62
If the matrix $A = \begin{bmatrix} a & 1 \\ 2 & 3 \end{bmatrix}$ has $1$ as an eigenvalue, then $\textit{trace}(A)$ is $4$ $5$ $6$ $7$
Arjun
asked
in
Linear Algebra
Sep 23, 2019
by
Arjun
589
views
isi2015-mma
linear-algebra
matrix
eigen-value
0
votes
0
answers
36
GATE MOCK 2018
An orthogonal matrix A has eigen values 1, 2 and 4, then trace of the matrix $A^T$ is ___________
Hirak
asked
in
Linear Algebra
May 28, 2019
by
Hirak
309
views
eigen-value
linear-algebra
0
votes
1
answer
37
ISI2018-MMA-14
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 $-4$ $-2$ $2$ $4$
akash.dinkar12
asked
in
Linear Algebra
May 11, 2019
by
akash.dinkar12
1.2k
views
isi2018-mma
engineering-mathematics
linear-algebra
eigen-value
determinant
0
votes
0
answers
38
CSIR UGC NET
Hirak
asked
in
Linear Algebra
Apr 28, 2019
by
Hirak
367
views
linear-algebra
eigen-value
matrix
4
votes
1
answer
39
Vani Institute Question Bank Pg-231 chapter 6
The Eigen values of $A=\begin{bmatrix} a& 1& 0\\1 &a &1 \\0 &1 &a \end{bmatrix}$ are______ $a,a,a$ $0,a,2a$ $-a,2a,2a$ $a,a+\sqrt{2},a-\sqrt{2}$
Hirak
asked
in
Linear Algebra
Apr 25, 2019
by
Hirak
731
views
engineering-mathematics
linear-algebra
eigen-value
18
votes
4
answers
40
GATE CSE 2019 | Question: 44
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 _______
Arjun
asked
in
Linear Algebra
Feb 7, 2019
by
Arjun
12.6k
views
gatecse-2019
numerical-answers
engineering-mathematics
linear-algebra
eigen-value
2-marks
0
votes
0
answers
41
Previous gate
Hemanth_13
asked
in
Linear Algebra
Jan 31, 2019
by
Hemanth_13
253
views
eigen-value
0
votes
2
answers
42
Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,-1. If $B=A^2-A$ then |B|=? a)24 b)-2 c)12 d)-12 Please explain in detail.
Reshu $ingh
asked
in
Linear Algebra
Jan 19, 2019
by
Reshu $ingh
2.8k
views
linear-algebra
matrix
eigen-value
0
votes
0
answers
43
UPPCL AE 2018:58
Let $\text{A}$ be a $2 \times 2$ matrix with integer entries. Which of the following could be its eigenvalue? $\sqrt[3]{2}$ $\pi$ $\frac{1}{\sqrt{2}}$ $\sqrt{2}$
Lakshman Patel RJIT
asked
in
Linear Algebra
Jan 5, 2019
by
Lakshman Patel RJIT
151
views
uppcl2018
linear-algebra
eigen-value
1
vote
0
answers
44
Eigen Values Doubt
Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{-1}$ ?
Shamim Ahmed
asked
in
Linear Algebra
Jan 4, 2019
by
Shamim Ahmed
399
views
eigen-value
engineering-mathematics
linear-algebra
1
vote
0
answers
45
Zeal Test Series 2019: Linear Algebra - Eigen Value
Prince Sindhiya
asked
in
Linear Algebra
Dec 21, 2018
by
Prince Sindhiya
483
views
zeal
engineering-mathematics
linear-algebra
eigen-value
zeal2019
8
votes
2
answers
46
TIFR CSE 2019 | Part A | Question: 3
$A$ is $n \times n$ square matrix for which the entries in every row sum to $1$. Consider the following statements: The column vector $[1,1,\ldots,1]^T$ is an eigen vector of $A.$ $ \text{det}(A-I) = 0.$ $\text{det}(A) = 0.$ Which of the above statements must be ... Only $(i)$ Only $(ii)$ Only $(i)$ and $(ii)$ Only $(i)$ and $(iii)$ $(i),(ii) \text{ and }(iii)$
Arjun
asked
in
Linear Algebra
Dec 18, 2018
by
Arjun
2.3k
views
tifr2019
engineering-mathematics
linear-algebra
eigen-value
1
vote
1
answer
47
Doubts
Eigenvalues of an Idempotentmatrix matrix A is 0 or 1 right or wrong?
sahadeo2494
asked
in
Linear Algebra
Dec 15, 2018
by
sahadeo2494
309
views
idempotentmatrix
eigen-value
1
vote
1
answer
48
NIELIT 2018-21
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigen vector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 \end{bmatrix}$ is $15$ $16$ $17$ $18$
Arjun
asked
in
Linear Algebra
Dec 7, 2018
by
Arjun
1.5k
views
nielit-2018
engineering-mathematics
linear-algebra
matrix
eigen-value
1
vote
1
answer
49
Ace Test Series: Linear Algebra - Eigen Values
Sumit Kushwah
asked
in
Linear Algebra
Dec 7, 2018
by
Sumit Kushwah
528
views
engineering-mathematics
linear-algebra
eigen-value
2
votes
0
answers
50
MadeEasy Test Series: Linear Algebra - Eigen Value
A 3 X 3 matrix P has 3 eigen values $-1 , 0.5 , 3$ What will be eigen values of $P^{2} + 2P + I$
jatin khachane 1
asked
in
Linear Algebra
Dec 2, 2018
by
jatin khachane 1
450
views
made-easy-test-series
engineering-mathematics
linear-algebra
eigen-value
0
votes
0
answers
51
#math combat
If $A$ is $2\times 2$ matrix ,eigen value is $1,-2$ and corresponding eigen vector $[1,2]^{T}$ and $[9,1]^{T}$.find sum of element of the matrix $A.$
amit166
asked
in
Linear Algebra
Nov 15, 2018
by
amit166
216
views
engineering-mathematics
linear-algebra
eigen-value
1
vote
1
answer
52
Eigen Vector
Na462
asked
in
Linear Algebra
Nov 7, 2018
by
Na462
1.3k
views
eigen-value
linear-algebra
0
votes
0
answers
53
Eigen Vector
Na462
asked
in
Linear Algebra
Oct 26, 2018
by
Na462
341
views
eigen-value
linear-algebra
engineering-mathematics
1
vote
0
answers
54
Eigen Values(Matrix is not idempotent)
Given that a matrix $A_{3\times3},$which is not idempotent matrix.And $A^{3}=A.$ Then find them, $1)$ Eigen Values $2)$ Trace of the matrix$=$Sum of Leading Diagonal Elements$=\sum a_{ij},$ where $i=j$ $3)Det(A)$
Lakshman Patel RJIT
asked
in
Linear Algebra
Oct 25, 2018
by
Lakshman Patel RJIT
351
views
engineering-mathematics
linear-algebra
eigen-value
0
votes
0
answers
55
Linear algebra
Given that the matrix $A=\begin{bmatrix} a_{11} &a_{12} \\ a_{21} &a_{22} \end{bmatrix}$ and Eigen value are $1,-2$ and Corresponding Eigen Vectors are $X_{1}=\begin{bmatrix} 1\\2 \end{bmatrix}$ and $X_{2}=\begin{bmatrix} 9\\1 \end{bmatrix}$ Find the $1)\sum a_{ij},$when $i=j$ $2)Det(A)$ $3)$Sum of all Elements in the given matrix
Lakshman Patel RJIT
asked
in
Linear Algebra
Oct 25, 2018
by
Lakshman Patel RJIT
430
views
engineering-mathematics
linear-algebra
eigen-value
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Recent questions tagged eigen-value
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