Matrices & Determinants
Adjoint
Grade 12
Question:
<p>If det(\(A\)) = 3, then det(Adj \(A\)) for 3 \times 3 matrix is:</p>
<p>(\(A\)) 9</p>
<p>(\(B\)) 27</p>
<p>(C) 3</p>
<p>(D) 1</p>
Step-by-Step Solution
Key Concept: det(adj A) = (det A)ⁿ⁻^1 for n \times n matrix.
1. det(adj $A$) = (det $A$)^2
2. = $3^2$ = 9
Correct Answer: 1