u200b If A = \(\begin{bmatrix}1&2\\[0.3em]4&2\end{bmatrix}\),then show that |2A| = 4 |A| u200b

Question

If A = (\begin{bmatrix}1&2\[0.3em]4&2\end{bmatrix}),then show that |2A| = 4 |A|

Answer 1

from (1) and (2)

|2A| = 4|A|