if A=`[(1,0,1),(0,1,2),(0,0,4)]` then show that `|3A| = 27|A|`
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 (C1) for easier calculation.
From equations (i) and (ii), we have:
|3A| = 27|A|
Hence, the given result is proved.
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