If A= 1 [ array cc ⁻¹ 1 2 & ⁻¹ x ⁻¹ x & ⁻¹ 3 array ] B= 1 [ array cc - ⁻¹ 1 2 & ⁻¹ x ⁻¹ x & - ⁻¹ 3 array ] and I is an identity matrix of order 2 2 , then A-B=

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Correct answer: B. 1 2 I

A - B = 1 bmatrix ⁻¹ 1 2 + ⁻¹ 1 2 & 0 0 & ⁻¹ 3 + ⁻¹ 3 bmatrix Using identities: ⁻¹(y) + ⁻¹(y) = 2 and ⁻¹(y) + ⁻¹(y) = 2 A - B = 1 bmatrix 2 & 0 0 & 2 bmatrix = 1 2 bmatrix 1 & 0 0 & 1 bmatrix = 1 2 I

If A= 1 [ array cc ⁻¹ 1 2 & ⁻¹ x ⁻¹ x & ⁻¹ 3 array ] B= 1 [ array cc - ⁻¹ 1 2 & ⁻¹ x ⁻¹ x & - ⁻¹ 3 array ] and I is an identity matrix of order 2 2 , then A-B=

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