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Recent questions tagged determinant
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GATE ECE 2015 Set 3 | Question: 1
For $A = \begin{bmatrix} 1 &\tan x \\ -\tan x &1 \end{bmatrix},$ the determinant of $A^{T}A^{-1}$ is $\sec^{2}x$ $\cos 4x$ $1$ $0$
Milicevic3306
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Linear Algebra
Mar 28, 2018
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Milicevic3306
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gate2015-ec-3
linear-algebra
matrices
determinant
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2
GATE ECE 2014 Set 2 | Question: 1
The determinant of matrix $A$ is $5$ and the determinant of matrix B is $40$. The determinant of matrix $AB$ is ________
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Linear Algebra
Mar 26, 2018
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Milicevic3306
15.8k
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gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
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3
GATE ECE 2014 Set 2 | Question: 28
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
Milicevic3306
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Linear Algebra
Mar 26, 2018
by
Milicevic3306
15.8k
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50
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gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
0
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0
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4
GATE ECE 2014 Set 1 | Question: 29
Consider the matrix ... $\alpha$ is a non-negative real number. The value of $\alpha$ for which $\text{det(P)} = 0$ is _______.
Milicevic3306
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Linear Algebra
Mar 26, 2018
by
Milicevic3306
15.8k
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97
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gate2014-ec-1
numerical-answers
linear-algebra
matrices
determinant
0
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5
GATE ECE 2013 | Question: 27
Let $A$ be an $m \times n$ matrix and $B$ an $n \times m$ matrix. It is given that determinant $(I_{m} + AB) =$ determinant $(I_{n} + BA),$ where $I_{k}$ is the $k \times k$ identity matrix. Using the above property, the determinant of the matrix given below ... $2$ $5$ $8$ $16$
Milicevic3306
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Linear Algebra
Mar 26, 2018
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Milicevic3306
15.8k
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53
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gate2013-ec
linear-algebra
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