Matrices

Concept:
Step 1: Determinant.
Step 2: Inverse.
Step 3:

Concept: For diagonal matrices:
Step 1: Compute .
Step 2: Compute .
Step 3:

Concept: Direct matrix multiplication.
Step 1: Compute .
Step 2: Add identity matrix.
Step 3:

Concept: For skew-symmetric matrices:
Step 1: Take transpose.
Step 2:

Concept: Compute and equate with identity matrix.
Step 1: Find .
Step 2: Equate with identity.
Step 3: