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Recent questions tagged matrix
7
votes
1
answer
1
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 13
If $A$ is a $3 \times 3$ matrix such that $A\left(\begin{array}{l}0 \\ 1 \\ 2\end{array}\right)=\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right)$ ... $\left(\begin{array}{r}1 \\ -1 \\ 0\end{array}\right)$ $\left(\begin{array}{r}9 \\ 10 \\ 11\end{array}\right)$
If $A$ is a $3 \times 3$ matrix such that $A\left(\begin{array}{l}0 \\ 1 \\ 2\end{array}\right)=\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right)$ and $A\left(\begin{ar...
GO Classes
540
views
GO Classes
asked
Jan 28
Linear Algebra
goclasses2024-mockgate-13
goclasses
linear-algebra
matrix
1-mark
+
–
0
votes
0
answers
2
Linear Transformation of Matrix
Debargha Mitra Roy
60
views
Debargha Mitra Roy
asked
Jan 12
Linear Algebra
linear-algebra
matrix
+
–
0
votes
0
answers
3
Diagonalization of Matrix
Debargha Mitra Roy
54
views
Debargha Mitra Roy
asked
Jan 11
Linear Algebra
matrix
linear-algebra
eigen-value
+
–
0
votes
0
answers
4
Diagonalization of Matrix - Orthogonal Transformation
Consider a symmetric matrix $M=\begin{bmatrix} \frac{1}{3} & 0 & \frac{2}{3}\\ 0&1 &0 \\ \frac{2}{3}&0 & \frac{1}{3} \end{bmatrix}$. An orthogonal matrix $O$ which can diagonalize this matrix by an orthogonal transformation $O^TMO$ is given by $O = $ ______
Consider a symmetric matrix $M=\begin{bmatrix} \frac{1}{3} & 0 & \frac{2}{3}\\ 0&1 &0 \\ \frac{2}{3}&0 & \frac{1}{3} \end{bmatrix}$. An orthogonal matrix $O$ which can di...
Debargha Mitra Roy
83
views
Debargha Mitra Roy
asked
Jan 11
Linear Algebra
linear-algebra
eigen-value
matrix
+
–
0
votes
0
answers
5
GATE 2022 | MATHS | Q-25
Consider the linear system of equations \(Ax = b\) with \[ A = \begin{bmatrix} 3 & 1 & 1 \\ 1 & 4 & 1 \\ 2 & 0 & 3 \\ \end{bmatrix} \] and \[ b = \begin{bmatrix} 2 \\ 3 \\ 4 \\ \end ... for any initial vector. (C) The Gauss-Seidel iterative method converges for any initial vector. (D) The spectral radius of the Jacobi iterative matrix is less than 1.
Consider the linear system of equations \(Ax = b\) with\[ A =\begin{bmatrix}3 & 1 & 1 \\1 & 4 & 1 \\2 & 0 & 3 \\\end{bmatrix}\]and\[ b =\begin{bmatrix}2 \\3 \\4 \\\end{bm...
rajveer43
73
views
rajveer43
asked
Jan 10
Linear Algebra
linear-algebra
matrix
+
–
0
votes
0
answers
6
Linear Algebra, Eigen Vales & Eigen Vectors
$If \ A = \begin{pmatrix} 1&1 \\ 1&0 \end{pmatrix},\ \alpha M_1+\beta M_2+\gamma M_3,\ where \ M_1 = L_{2x2},\ M_2 = \begin{pmatrix} 0&1 \\ 1&1 \end{pmatrix}\ and \ M_3 = \begin{pmatrix} 1&1 \\ 1&1 \end{pmatrix} \ then \ -$ ... $\alpha = 1,\ \beta = -1,\ \gamma = 2$ D. $\alpha = -1,\ \beta = 1,\ \gamma = 2$
$If \ A = \begin{pmatrix} 1&1 \\ 1&0 \end{pmatrix},\ \alpha M_1+\beta M_2+\gamma M_3,\ where \ M_1 = L_{2x2},\ M_2 = \begin{pmatrix} 0&1 \\ 1&1 \end{pmatrix}\ and \ M_3 =...
Debargha Mitra Roy
101
views
Debargha Mitra Roy
asked
Jan 8
Linear Algebra
engineering-mathematics
linear-algebra
eigen-value
matrix
+
–
0
votes
0
answers
7
Find the basic feasible solutions
Find the basic feasible solutions of the system of equations :- $x_1+x_2+x_3=8,$ $3x_1+2x_2=18,$ $x_1,x_2,x_3≥ 0$
Find the basic feasible solutions of the system of equations :-$x_1+x_2+x_3=8,$$3x_1+2x_2=18,$$x_1,x_2,x_3≥ 0$
Debargha Mitra Roy
139
views
Debargha Mitra Roy
asked
Dec 11, 2023
Linear Algebra
linear-algebra
matrix
+
–
0
votes
1
answer
8
Ace textbook
What is the time complexity of best algorithm that decides whether a given directed graph represented as adjacency Matrix contains a sink or not ? (a)O(V^2) (b)O(VlogV) (c)O(V^2logV) (d)O(V)
What is the time complexity of best algorithm that decides whether a given directedgraph represented as adjacency Matrix contains a sink or not ?(a)O(V^2)(b)O(VlogV)(c)O(...
Aniket1710
331
views
Aniket1710
asked
Jul 11, 2023
Algorithms
algorithms
time-complexity
matrix
+
–
0
votes
1
answer
9
rbr practice questions
Is the product of eigen values of a matrix equal to its determinant true for all the matrices?
Is the product of eigen values of a matrix equal to its determinant true for all the matrices?
vanshikha020
445
views
vanshikha020
asked
Jul 1, 2023
Linear Algebra
matrix
eigen-value
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–
0
votes
1
answer
10
#self doubt
Dknights
422
views
Dknights
asked
Apr 18, 2023
Linear Algebra
linear-algebra
matrix
+
–
0
votes
1
answer
11
#appliedcourse
not getting the answer by 3*3 eigen value formula – (x^3-trace(a)*x^2+sum of minors of a(x)+|a|) eigen values are given as -2,3,6
not getting the answer by 3*3 eigen value formula – (x^3-trace(a)*x^2+sum of minors of a(x)+|a|)eigen values are given as -2,3,6
Dknights
466
views
Dknights
asked
Apr 14, 2023
Linear Algebra
linear-algebra
matrix
+
–
13
votes
2
answers
12
GO Classes 2024 | Weekly Quiz 7 | Linear Algebra | Question: 18
In this problem, consider the $4 \times 4$ matrix $A$ whose columns are vectors $\mathbf{a}_1, \mathbf{a}_2, \mathbf{a}_3, \mathbf{a}_4 \in \mathbb{R}^4$ ... a element in matrix $\text{A}$ at $\mathrm{i}^{\text {th }}$ row and $\mathrm{j}^{\text{th}}$ column.
In this problem, consider the $4 \times 4$ matrix $A$ whose columns are vectors $\mathbf{a}_1, \mathbf{a}_2, \mathbf{a}_3, \mathbf{a}_4 \in \mathbb{R}^4$ :$$A=\left[\math...
GO Classes
698
views
GO Classes
asked
Apr 5, 2023
Linear Algebra
goclasses2024_wq7
numerical-answers
goclasses
linear-algebra
matrix
vector-space
2-marks
+
–
0
votes
1
answer
13
#Eigen Vectors
Find the eigen values and eigen vector of the following matrix????
Find the eigen values and eigen vector of the following matrix????
Çșȇ ʛấẗẻ
1.2k
views
Çșȇ ʛấẗẻ
asked
Mar 21, 2023
Mathematical Logic
eigen-value
linear-algebra
engineering-mathematics
matrix
+
–
3
votes
1
answer
14
TIFR CSE 2023 | Part A | Question: 5
Suppose $A$ is a $2 \times 2$ matrix such that the sum of the principal diagonal entries of $A$ is $10$ and the sum of the principal diagonal entries of $A^{2}$ is $20$. (For any $2 \times 2$ matrix $B$, the ... $80$ Nonzero, but cannot be uniquely determined from the above data. Cannot be uniquely determined from the above data, and could also be zero.
Suppose $A$ is a $2 \times 2$ matrix such that the sum of the principal diagonal entries of $A$ is $10$ and the sum of the principal diagonal entries of $A^{2}$ is $20$. ...
admin
305
views
admin
asked
Mar 14, 2023
Linear Algebra
tifr2023
linear-algebra
matrix
+
–
4
votes
1
answer
15
TIFR CSE 2023 | Part A | Question: 15
Consider the $n \times n$ matrix $M$ ... $S$ have? $1$ $\left(\begin{array}{l}n \\ 2\end{array}\right)$ $n$ ! $(n !)^{2}$ $n$
Consider the $n \times n$ matrix $M$ defined as follows:$$M=\left(\begin{array}{cccc}1 & 2 & \ldots & n \\n+1 & n+2 & \ldots & 2 n \\2 n+1 & 2 n+2 & \ldots & 3 n \\\vdots...
admin
521
views
admin
asked
Mar 14, 2023
Linear Algebra
tifr2023
linear-algebra
matrix
+
–
1
votes
1
answer
16
DRDO CSE 2022 Paper 1 | Question: 1
Compute $\left[M M^{T}\right]^{-1}$ for an orthogonal matrix where \[M=\left[\begin{array}{lll} \frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{-2}{\sqrt{2}} \\ \frac{-2}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\ \frac{2}{\sqrt{2}} & \frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} \end{array}\right] .\]
Compute $\left[M M^{T}\right]^{-1}$ for an orthogonal matrix where\[M=\left[\begin{array}{lll}\frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{-2}{\sqrt{2}} \\\frac{-2}{\s...
admin
439
views
admin
asked
Dec 15, 2022
Linear Algebra
drdocse-2022-paper1
linear-algebra
matrix
3-marks
descriptive
+
–
0
votes
1
answer
17
MADEEASY TESTSERIES
To justify the OPTION B they gave an example of 2*2 matrix. However we can see that row 2 is linearly dependent on row1. Even though the 2nd row looks non-zero it can be made into zero. SO am I wrong or the explanation is wrong?
To justify the OPTION B they gave an example of 2*2 matrix. However we can see that row 2 is linearly dependent on row1. Even though the 2nd row looks non-zero it can be ...
DAWID15
634
views
DAWID15
asked
Dec 9, 2022
Linear Algebra
made-easy-test-series
matrix
linear-algebra
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