If A= [ array ccc 2 & 2 ^2 -1 & 0 2 & 2 & 0 0 & 0 & 1 array ] , then which of the following statements is/are correct? 1. A ⁻¹= adj A 2. A is skew-symmetric matrix 3. A ⁻¹= A ^ T Select the correct answer using the code given below:

Question

Quantrex Academy · Accepted Answer

Correct answer: C. 1 and 3

| A |= | array ccc 2 & - 2 & 0 2 & 2 & 0 0 & 0 & 1 array |=1 We have if | A |= 1 then A is orthogonal matrix. So, A ⁻¹= A ^ T and A ⁻¹= adj A .

If A= [ array ccc 2 & 2 ^2 -1 & 0 2 & 2 & 0 0 & 0 & 1 array ] , then which of the following statements is/are correct? 1. A ⁻¹= adj A 2. A is skew-symmetric matrix 3. A ⁻¹= A ^ T Select the correct answer using the code given below:

Options

Correct answer

Step-by-step solution

More from Matrices