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  • Explain solution for RD Sharma Class 12 Chapter 5 Determinants Exercise Very short Answers Question 16 maths textbook solution.

Explain solution for RD Sharma Class 12 Chapter 5 Determinants Exercise Very short Answers Question 16 maths textbook solution.

Answers (1)

Answer:135

Hint: Here we use basic concept of determinant of matrix such that (k A)=k^{n}|A|

Given : A \text { is } 3 \times 3 \text { matrix and }|A|=5

Solution :

|A|=5 \text { and } A \text { is } 3 \times 3 \text { matrix }

So, n = 3

As,

|k A|=k^{n}|A|

\rightarrow Here, we have to find \left | 3A \right |

So, k=3

\begin{aligned} |3 A| &=3^{n}|A| \rightarrow[k=3] \\ |3 A| &=3^{3} \times 5 \\ |3 A| &=27 \times 5 \\ |3 A| &=135 \end{aligned}

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