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Please solve RD Sharma Class 12 Chapter 5 Determinants Exercise Very Short Answer Question 22 maths textbook solution.

Answers (1)

Answer : |B|=\frac{1}{3}

Hint: Here we use basic concept of determinant of matrix


\begin{aligned} &|A|=3 \\ &A B=I \\ &|B|=? \end{aligned}

Solution :

AB = I

\rightarrow Let's find determinate both sides

\begin{aligned} &|A B|=|I| \\ &|A| \times|B|=|I|[|I|=1 \text { and }|A|=3] \\ &3|B|=1 \\ &|B|=\frac{1}{3} \end{aligned}

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