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Need solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 57 maths textbook solution.

Answers (1)

Answer: 4

Hint: Here we use basic concept of determinant of matrix


\begin{aligned} &A \text { is } 3 \times 3 \text { matrix So } n=3\\ &A B=2 I\\ &|A|=2 \text { So, }|B|=? \end{aligned}

Solution :

AB = 2I

\rightarrow Take determinant on both sides

\begin{aligned} &|A B|=|2 I| \\ &|A B|=2^{3} \times 1 \quad\left(\begin{array}{c} n=3 \\ |I|=1 \\ |k A|=k^{n}|A| \end{array}\right) \end{aligned}

\begin{aligned} &|A| \times|B|=8 \\ &|B|=\frac{8}{2}=4 \quad(|A|=2) \end{aligned}

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