AP EAMCET · Maths · Matrices
If and , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
It is given that, AA⊤=I It is an orthogonal matrix and the determinant of orthogonal matrix is ±1 . . pqrrpqqrp=±1 Solve the above determinant, p3-pqr-pqr-pqr+q3+r3=±1 ⇒p3+q3+r3-3pqr=±1 ⇒p3+q3+r3=3pqr±1
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