Question

A and B are quares of matrix of order 3 such that AB=BA=I IF det(b) = 1/5 then value of det(a) wil be? its and challenge

Answer 1

Step-by-step explanation:

As we know

$|ka| = {k}^{n} |a|$

where n is the order of the matrix

$|3ab| = {3}^{2} |a| \: \: \: \: |b|$

(∵ order given is 3)

$|3ab| = {3}^{2} \times |a| |b|$

$27 \times 5 \times 3$

$27 \times 15$

$= 405$

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