A= [ array rr 1 & -1 2 & 3 array ] and B= [ array rr 2 & 3 -1 & -2 array ] , then which of the following is/are correct? 1. AB ( A ⁻¹ ~B ⁻¹ ) is a unit matrix. 2. ( AB )⁻¹= A ⁻¹ ~B ⁻¹ Select the correct answer using the code given below:

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Quantrex Academy · Accepted Answer

Correct answer: D. Neither 1 nor 2

Here, A= [ array cc 1 & -1 2 & 3 array ] and B= [ array cc 2 & 3 -1 & -2 array ]|A|=3-(-2)=5 and |B|=-4-(-3)=-1 A⁻¹= 1 5 [ array cc 3 & 1 -2 & 1 array ] and B⁻¹=-1 [ array cc -2 & -3 1 & 2 array ]A B= [ array ll 3 & 5 1 & 0 array ] and A⁻¹ B⁻¹= 1 5 [ array cc 5 & 7 -5 & 8 array ] A B (A⁻¹ B⁻¹ )= 1 5 [ array cc -10 & -61 5 & 7 array ] 1 . |A B|=0-5=-5 (A B)⁻¹= -1 5 [ array cc 0 & -5 -1 & 3 array ] A⁻¹ B⁻¹

A= [ array rr 1 & -1 2 & 3 array ] and B= [ array rr 2 & 3 -1 & -2 array ] , then which of the following is/are correct? 1. AB ( A ⁻¹ ~B ⁻¹ ) is a unit matrix. 2. ( AB )⁻¹= A ⁻¹ ~B ⁻¹ Select the correct answer using the code given below:

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