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ML Aggarwal Solutions Class 10 Mathematics Solutions for Matrices Exercise 8.3 in Chapter 8 - Matrices

Question 5 Matrices Exercise 8.3

\text { If } P=\left[\begin{array}{cc} 4 & 6 \\ 2 & -8 \end{array}\right], Q=\left[\begin{array}{cc} 2 & -3 \\ -1 & 1 \end{array}\right]. Find 2PQ.

Answer:

Given

\begin{array}{l} P=\left[\begin{array}{cc} 4 & 6 \\ 2 & -8 \end{array}\right] \\ Q=\left[\begin{array}{cc} 2 & -3 \\ -1 & 1 \end{array}\right] \\ 2 P Q=2\left[\begin{array}{cc} 4 & 6 \\ 2 & -8 \end{array}\right] \times\left[\begin{array}{cc} 2 & -3 \\ -1 & 1 \end{array}\right] \\ =2\left[\begin{array}{cc} 8-6 & -12+6 \\ 4+8 & -6-8 \end{array}\right]=2\left[\begin{array}{cc} 8 & -6 \\ 12 & -14 \end{array}\right]=\left[\begin{array}{cc} 4 & -12 \\ 24 & -28 \end{array}\right] \end{array}

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