Matrices & Determinants
Determinant Properties
Grade 12

Question:

<p>If \(\Delta = \begin{vmatrix} 2a & 3a + 2x^2 & 4a + 3x^2 + 2x^4 \\ 2a & 3a + 2x^2 & 4a + 3x^2 + 2x^4 \\ 3a & 6a + 3x^2 & 10a + 6x^2 + 3x^4 \end{vmatrix}\)</p>

Step-by-Step Solution

Key Concept: Identify row or column repetitions to determine if the determinant is zero.
<p>Notice that the first and second rows are identical. By the property of determinants, if two rows are equal, the determinant equals zero.</p>
Correct Answer: 0

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