#### Question

if A=`[(1,0,1),(0,1,2),(0,0,4)]` then show that `|3A| = 27|A|`

#### Solution

The given matrix is A = `[(1,0,1),(0,1,2),(0,0,4)]`

It can be observed that in the first column, two entries are zero. Thus, we expand along the first column (C_{1}) for easier calculation.

From equations (i) and (ii), we have:

|3A| = 27|A|

Hence, the given result is proved.

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Solution If A=Matrix [(1,0,1),(0,1,2),(0,0,4)] Then Show that `|3a| = 27|A|` Concept: Determinants of Matrix of Order One and Two.