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If the matrix = ( array ccc 0.3 & b & c l & m & n 0 & p & q array ) is an orthogonal matrix, find the sum of all possible value of 10(m q-n p)

Correct answer

18

Step-by-step solution

aligned A A^T & =I A^T=A⁻¹ A^T & = adj. A |A| = adj. A m q-n p & = (0.3) 10(m q-n p) & =2,3 or -3 Sum & =9+9=18 aligned

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