If matrix A= [ array ccc 3 & -2 & 4 \ 1 & 2 & -1 \ 0 & 1 & 1 array ] and A^ -1 = 1 k adj (A), then k is

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Correct answer: C. 15

Given, A= [ array ccc 3 & -2 & 4 \ 1 & 2 & -1 \ 0 & 1 & 1 array ] and A^ -1 = 1 k adj (A)....(i) We know that, A^ -1 = adj (A) |A| ...(ii) By comparing Eqs. (i) and (iii), k=|A| So, aligned |A| & = | array ccc 3 & -2 & 4 \ 1 & 2 & -1 \ 0 & 1 & 1 array | \ & =3(2+1)+2(1+0)+4(1-0)=15 aligned

BITSAT Mathematics Question (2024) — Solution

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