For a square matrix A which of the following properties hold 1 A ndash 1 ndash 1 A 2 det A ndash 1 1...........

Mathematics (NDA) Matrices and Determinants

For a square matrix A, which of the following properties hold?

1. (A^–1 )^–1 = A

2. det(A^–1) = 1/detA

3. ( $\lambda$ A)^–1=A^–1

where $\lambda$ is a scalar

Select the correct answer using the code given below:

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

Statement 1 and 2 are correct.
Statement 3 is incorrect because
(λA)⁻¹= 1/λ A⁻¹,λ≠0

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