Practicing Success
Practicing Success
CUET Preparation Today
If, for a 3 × 3 matrix A, AAT = I and |A| = 1, then |A - I| is equal to |
1 -1 0 None of these |
0 |
We know that |A - I| = |A - AAT| = |A(I - AT)| = |A| |(I - A)T| = |I - A| = - |A - I| ⇒ |A - I| = 0. |
