Given: AB = 2I, |A| = 2Formula used: |AB| = |A|.|B| and |kA| = kn.|A|, where n is the order of matrix.As, AB = 2ITaking determinant, we get,|AB| = |2I||A|.|B| = 23.|I|2.|B| = 8.1|B| = 4

Q. 14.7( 11 Votes )

If A and B are sq

Class 12th Mathematics - Board Papers All India - 2019

Answer :

Given: AB = 2I, |A| = 2

Formula used: |AB| = |A|.|B| and |kA| = kⁿ.|A|, where n is the order of matrix.

As, AB = 2I

Taking determinant, we get,

|AB| = |2I|

|A|.|B| = 2³.|I|

2.|B| = 8.1

|B| = 4

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