Question

Is equal to \[ \left| \begin{matrix} b^2 + c^2 & c^2 + b^2 \\ c^2 & c^2 + a^2 \\ b^2 & a^2 + b^2 \end{matrix} \right| \]

• A. \(4a^2b^2c^2\)
• B. \((a + b + c)^2\)
• C. \(a^2 + b^2 + c^2\)
• D. \(a^4 + b^4 + c^4\)

Hint:

When solving determinants, simplify using row or column operations to reveal patterns or simplifications.

Answer 1

The Correct Option is A

Using properties of determinants and applying row and column operations, we find that the determinant simplifies to \(4a^2b^2c^2\).