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Recent questions tagged determinant
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GATE Electrical 2021  Question: 38
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.
asked
Feb 20
in
Linear Algebra
by
Arjun
(
7.8k
points)
gateee2021
numericalanswers
linearalgebra
matrices
determinant
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2
GATE Electrical 2018  Question: 44
Let $A= \begin{bmatrix} 1 & 0 & 1 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix}$ and $B=A^3A^24A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
asked
Feb 19, 2018
in
Linear Algebra
by
Arjun
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7.8k
points)
gate2018ee
numericalanswers
linearalgebra
matrices
determinant
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3
GATE Electrical 2018  Question: 17
Consider a nonsingular $2 \times 2$ square matrix $\textbf{A}$. If $\text{trace}(\textbf{A})=4$ and $\text{trace}(\textbf{A}^2)=5$, the determinant of the matrix $\textbf{A}$ is _________ (up to $1$ decimal place).
asked
Feb 19, 2018
in
Linear Algebra
by
Arjun
(
7.8k
points)
gate2018ee
numericalanswers
linearalgebra
matrices
determinant
0
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0
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4
GATE Electrical 2015 Set 1  Question: 3
If the sum of the diagonal elements of a $2 \times 2$ matrix is $6$, then the maximum possible value of determinant of the matrix is ________
asked
Feb 12, 2017
in
Calculus
by
makhdoom ghaya
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9.3k
points)
gate2015ee1
linearalgebra
matrices
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