Question

Find the determinant value of the matrix.
Explain the solution with step by step.
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Answer 1

| 1^2 2^2 3^2 |

| 2^2 3^2 4^2 |

| 3^2 4^2 5^2 |

=1^2(3^2×5^2-4^2×4^2) -2^2(2^2×5^2 -3^2×4^2)

+3^2(2^2×4^2-3^2×3^2)

=1(9×25-16×16)-4(4×25-9×16)+9(4×16-9×9)

=1(225-256)-4(100-144)+9(64-81)

=1×(-31) -4× (-44) +9(-17)

=-31+175 -153

=-9

hope its helpful