Let A be a 3 × 3 matrix such that X^T AX = O for all non-zero 3 × 1 matrices X = pmatrix x pmatrix . If A...

Question

Let A be a 3 × 3 matrix such that X^T AX = O for all non-zero 3 × 1 matrices X = pmatrix x pmatrix . If A pmatrix 1 1 1 pmatrix = pmatrix 1 4 -5 pmatrix , A pmatrix 1 2 1 pmatrix = pmatrix 0 4 -8 pmatrix and det ( adj (2(A + I))) = 2^ 3^ 5^ , , , N, then ^2 + ^2 + ^2 is

Accepted Answer

44

JEE Main 2025 Mathematics question

Solution

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