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  • Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 11

Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 11

Answers (1)

Answer:

 \left[\begin{array}{ccc} 2 & 1 & -1 \\ -2 & -1 & -1 \\ 4 & 2 & -2 \end{array}\right]

Hint:

 Use the basic multiplication rules.

Given:

 \left[\begin{array}{c} 1 \\ -1 \\ 2 \end{array}\right]\left[\begin{array}{lll} 2 & 1 & -1 \end{array}\right]=?

Solution:

\begin{aligned} &{\left[\begin{array}{c} 1 \\ -1 \\ 2 \end{array}\right] \times\left[\begin{array}{ccc} 2 & 1 & -1 \end{array}\right]} \\ &=\left[\begin{array}{ccc} 1 \times 2 & 1 \times 1 & 1 \times-1 \\ -1 \times 2 & -1 \times 4 & -1 \times 1 \\ 2 \times 2 & 2 \times 1 & 2 \times-1 \end{array}\right]=\left[\begin{array}{ccc} 2 & 1 & -1 \\ -2 & -1 & -1 \\ 4 & 2 & -2 \end{array}\right] \end{aligned}

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