# PQ = kI, where k ∈ R, k ≠ 0 and I is the identity matrix of order 3. If Q23 = – k/8 and det (Q) = k^2

Let P =

, Where ∝ ∈ R, Support Q = [qii] is a matrix such that PQ = kI, where k ∈ R, k ≠ 0 and I is the identity matrix of order 3. If Q23 = – k/8 and det (Q) = k^2, then-

- ∝ = 0, k = 8
- 4∝ – k + 8 = 0
- det (Padj (Q)) = 2^9
- det (Q adj (P)) = 2^13

**Answer: b) 4α-k+8=0
(c) det (Padj(Q))=2^9**