Matrices & Determinants
Determinant Properties
Grade 12
Question:
<p>If <span>\(f(x) = \begin{vmatrix} 1 & x & x^2 & x^3 \\ 0 & 1 & 2 & 3 \\ 0 & 1 & x & x \end{vmatrix}\)</span>, then <span>\(8f(1)\)</span> is equal to</p>
<p>(a) -1</p>
<p>(b) 0</p>
<p>(c) 1</p>
<p>(d) 2</p>
Step-by-Step Solution
Key Concept: Evaluate the determinant by substituting x=1 and then multiply the result by 8.
<p>This requires evaluating the determinant at x=1 and multiplying by 8.</p>
Correct Answer: A