TS EAMCET · Maths · Matrices
If is a matrix such that then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given AdjA=kAT. ⇒AdjA=kAT ...i We know that, for a square matrix of order n, AdjA=An-1, kA=knA and AT=A. Hence, from equation i, we have ⇒A3-1=k3A ⇒A2=k3A ⇒k3=A=27 ⇒k=3. Hence, k2-3k+5=32-3×3+5=5.
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