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  • Need solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 31 maths textbook solution.

Need solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 31 maths textbook solution.

Answers (1)

Answer: non-singular

Hint: Here we use basic concept of determinant of matrix

Given: Here A and B non singular matrix

So,

\begin{aligned} &|A| \neq 0 \\ &|B| \neq 0 \end{aligned}

Solution : So now in \left | AB \right |,

\begin{aligned} &|A B|=|A| \times|B| \\ &\rightarrow \text { Here }|A| \neq 0 \text { and }|B| \neq 0 \end{aligned}

then multiplication of 2 non zero numbers, answer always be non zero

\begin{aligned} &\text { So, }|A B| \neq 0\\ &\rightarrow|A B| \end{aligned} is non singular 

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