Matrices & Determinants
Determinant simplification
Grade 12
Question:
<p>If determinant \(\Delta\) is such that one row is all ones and others arbitrary, then \(\Delta\) simplifies by:</p>
<p>(A) subtracting rows</p>
<p>(B) multiplying rows</p>
<p>(C) adding columns</p>
<p>(D) no change</p>
Step-by-Step Solution
Key Concept: Use row operations to create zeros when a row has identical elements.
1. Identify row with identical elements
2. Subtract other rows from it
3. Simplify determinant before expansion
Correct Answer: 1