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  • Need solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 32 maths textbook solution.

Need solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 32 maths textbook solution.

Answers (1)

Answer: 54

Hint: Here we use basic concept of determinant of matrix

Given:

\begin{aligned} &A \text { is } 3 \times 3 \text { order matrix, } n=3\\ &|A|=2 \text { Find }|A(3 I)|=? \end{aligned}

Solution :

\begin{aligned} &|A(3 I)|=|A| \times|3 I| \\ &=|A| \times 3^{n} \times I \quad\left[|k A|=k^{n}|A|\right] \\ &=2 \times 3^{3} \times 1 \\ &=2 \times 27 \\ &=54 \end{aligned}

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