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Please solve RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 44 maths textbook solution.

Answers (1)

Answer: 11

Hint: Here we use basic concept of determinant of matrix

Given: A=\left[\begin{array}{lll} 5 & 3 & 8 \\ 2 & 0 & 1 \\ 1 & 2 & 3 \end{array}\right]

Solution :

\begin{aligned} &\text { Let } \mathrm{C}_{i j}=(-1)^{i+j} M_{i j} \\ &\text { Cofactor of } \mathrm{a}_{32}=(-1)^{3+2}\left|\begin{array}{ll} 5 & 8 \\ 2 & 1 \end{array}\right| \\ &=-1(5-16) \\ &\text { Cofactor of } \mathrm{a}_{32}=(-11) \times-1=11 \end{aligned}

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