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Scalar Multiplication of a Matrix

If A = [ [ ...

Question

If $A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]$ , find $| 2 A |$ .

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Solution

$A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]$

$2 A = [\begin{matrix} 2 & 4 6 & 8 \end{matrix}]$

$| 2 A | = 16 - 24 = - 8$

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A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}],

| 2 A |

Q. Find a matrix

X

2 A + B + X = O,

A = [\begin{matrix} - 1 & 2 3 & 4 \end{matrix}]

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

A = [\begin{matrix} - 1 & 2 3 & 4 \end{matrix}]

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

2 A + B + X = 0

, then the matrix

X

A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]

A \cdot A^{'}

A = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]

A^{'} A

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