NDA2018MathematicsMatricesActual
For a square matrix A , which of the following properties hold? 1. ( A ⁻¹ )⁻¹= A 2. det ( A ⁻¹ )= 1 det ~A 3. ( A )⁻¹ ~A ⁻¹ where is a scalar Select the correct answer using the code given below:
Options
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1,2 and 3
Correct answer
A. 1 and 2 only
Step-by-step solution
Statement 1 and 2 are correct. Statement 3 is incorrect because ( A )⁻¹= 1 ~A ⁻¹, 0