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If A=[{:(1,2),(4,2):}], then show that |...

If `A=[{:(1,2),(4,2):}]`, then show that |2A|=4|A|.

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To show that |2A| = 4|A| for the given matrix \( A = \begin{pmatrix} 1 & 2 \\ 4 & 2 \end{pmatrix} \), we will follow these steps: ### Step 1: Calculate the determinant of matrix A The determinant of a 2x2 matrix \( A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \) is given by the formula: \[ |A| = ad - bc ...
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