Q. If p, q, r are 3 real numbers satisfying the matrix equation , then 2p + q - r equals :

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Solution:

Given


...(i)
...(ii)
...(iii)
On solving (i), (ii) and (iii), we get
p = 1, q = - 2, r = 3
2p + q - r = 2(1) + (- 2) - (3) = - 3.