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Questions without a selected answer in Linear Algebra
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GATE CH 2021 | Question: 20
$\textbf{A, B, C}$ and $\textbf{D}$ are vectors of length $4$ ... is __________
$\textbf{A, B, C}$ and $\textbf{D}$ are vectors of length $4$. $$\textbf{A} = \begin{bmatrix} a_1 & a_2 & a_3 & a_4 \end{bmatrix} \\ \textbf{B} = \begin{bmatrix}b_1 & b_2...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Linear Algebra
gatech-2021
numerical-answers
linear-algebra
matrices
rank-of-matrix
+
–
0
answers
0
votes
GATE CH 2021 | Question: 26
Let $A$ be a square matrix of size $n \times n (n>1)$. The elements of $A=\{a_{ij}\}$ ... $A$ is $0$ $1$ $n!$ $(n!)^2$
Let $A$ be a square matrix of size $n \times n (n>1)$. The elements of $A=\{a_{ij}\}$ are given by $$a_{ij} = \begin{cases} i \times j, & \text{if } i \geq j \\ 0, & \tex...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Linear Algebra
gatech-2021
linear-algebra
matrix-algebra
determinant
+
–
0
answers
0
votes
GATE Chemical 2020 | Question: 25
Sum of the eigenvalues of the matrix $\begin{bmatrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{bmatrix}$ is ______ (round off to nearest integer).
soujanyareddy13
1.8k
points
soujanyareddy13
asked
Nov 16, 2020
Linear Algebra
gate2020
numerical-answers
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Chemical 2019 | Question: 1
A system of $n$ homogeneous linear equations containing $n$ unknowns will have non-trivial solutions if and only if the determinant of the coefficient matrix is$1$$-1$$0$...
Arjun
4.7k
points
Arjun
asked
Feb 24, 2019
Linear Algebra
gate2019
linear-algebra
matrices
system-of-equations
+
–
0
answers
0
votes
GATE Chemical 2019 | Question: 22
The product of the eigenvalues of the matrix $\begin{pmatrix} 2 &3 \\ 0& 7 \end{pmatrix}$ is ____________ (rounded off to one decimal place).
Arjun
4.7k
points
Arjun
asked
Feb 24, 2019
Linear Algebra
gate2019
numerical-answers
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Chemical 2016 | Question: 26
A set of simultaneous linear algebraic equations is represented in a matrix form as shown below.$\begin{bmatrix} 0 &0 &0 &4 &13 \\ 2& 5& 5& 2& 10\\ 0&0 &2 &5 &3 \\ 0&0 &0...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2016
numerical-answers
linear-algebra
system-of-equations
+
–
0
answers
0
votes
GATE Chemical 2015 | Question: 12
For the matrix $\begin{pmatrix} 4 & 3\\ 3& 4 \end{pmatrix}$, if $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ is an eigenvector, the corresponding eigenvalue is __________ .
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2015
numerical-answers
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE Chemical 2013 | Question: 3
Which of the following statements are TRUE?P.The eigenvalues of a symmetric matrix are realQ.The value of the determinant of an orthogonal matrix can only be +1R.The tr...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2013
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Chemical 2012 | Question: 5
Consider the following $(2\times2)$ matrix $\left( \begin{array}{c} 4 & 0 \\ 0 & 4 \end{array} \right)$Whi...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2012
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE Chemical 2012 | Question: 1
Consider the following set of linear algebraic equations $x{_1} + 2x{_2} + 3x{_3} = 2$ ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2012
linear-algebra
matrices
system-of-equations
+
–
0
answers
0
votes
GATE Chemical 2018 | Question: 47
For the matrix $A=\begin{bmatrix} \cos\theta &-\sin\theta \\ \sin \theta & \cos\theta \end{bmatrix}$ if $\det$ stands for the determinant and $A^{T}$ is the transpose of ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Linear Algebra
gate2018
numerical-answers
linear-algebra
matrices
determinant
+
–
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