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Transpose of a Matrix

If A is a mat...

Question

If A is a matrix such that $(\begin{matrix} 2 & 1 3 & 2 \end{matrix}) A (11) = (\begin{matrix} 1 & 1 0 & 0 \end{matrix})$ then A=

A

$(\begin{matrix} 1 & 1 0 & 1 \end{matrix})$

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B

$(2, 1)$

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C

$(\begin{matrix} 1 & 0 - 1 & 0 \end{matrix})$

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D

$(\begin{matrix} 2 - 3 \end{matrix})$

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Solution

The correct option is D
$(\begin{matrix} 2 - 3 \end{matrix})$

$Let A = {[\begin{matrix} x y \end{matrix}]}_{2 \times 1} \Rightarrow \begin{matrix} 2 x + y = 1 3 x + 2 y = 0 \end{matrix} \Rightarrow x = 2, y = - 3$

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Similar questions

A

is a matrix such that

(\begin{matrix} 2 & 1 3 & 2 \end{matrix}) A (11) = (\begin{matrix} 1 & 1 0 & 0 \end{matrix})

A =

[\begin{matrix} 2 & 1 3 & 2 \end{matrix}] A [\begin{matrix} - 3 & 2 5 & - 3 \end{matrix}] = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

then the matrix A is equal to

[\begin{matrix} 2 & 1 3 & 2 \end{matrix}] A [\begin{matrix} - 3 & 2 5 & - 3 \end{matrix}] = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}],

then the sum of all the elements of matrix

A

A

is square matrix such that

A^{2} = 1

A^{- 1} = ?

Q. Find the matrix

A

satisfying the matrix equation

[\begin{matrix} 2 & 1 3 & 2 \end{matrix}] A [\begin{matrix} - 3 & 2 5 & - 3 \end{matrix}] = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

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