Question

1. If A is a square matrix of order
3 & |Al = 2. Find |-A|.

If you know the answer then only answer it if not then pls don't​.
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Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

If A is a square matrix of order m

Then

$|k A| = \: {k}^{m} | A|$

Where k = nonzero constant

| A | = Determinant of the matrix A

GIVEN

A is a square matrix of Order 3 & |Al = 2

TO DETERMINE

|-A|

CALCULATION

$|-A| = {( - 1)}^{3} |A| = - 1 \times 2 = - 2$