Q1 of 52 Page 1

If A and B are square matrices of the same order 3, such that |A| = 2 and AB = 2I, write the value of |B|.

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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