Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \det(A)=5, then \(\det(A\)\) + \(A\)^T) equals:</p>
<p>(A) 10</p>
<p>(B) 5</p>
<p>(C) cannot be determined</p>
<p>(D) 25</p>
Step-by-Step Solution
Key Concept: No direct determinant rule for sum of matrices.
1. No formula for $\$\det(A)$ + $A$^T)
2. Cannot determine from given data
Correct Answer: 3