Carroll Gordon
04/29/2023 · Elementary School
14. \( \left[\begin{array}{rr}5 & 0 \\ -4 & 1\end{array}\right]\left[\begin{array}{rr}-3 & 2 \\ 6 & 2\end{array}\right] \)
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Step-by-step Solution
Calculate the matrix arithmetic expression \( \left[\begin{array}{rr}5 & 0 \\ -4 & 1\end{array}\right]\left[\begin{array}{rr}-3 & 2 \\ 6 & 2\end{array}\right] \).
Matrices by following steps:
- step0: Solution:
\(\left[\begin{array}{rr}{5}&{0}\\{-4}&{1}\end{array}\right]\times \left[\begin{array}{rr}{-3}&{2}\\{6}&{2}\end{array}\right]\)
- step1: Multiply the terms:
\(\left[\begin{array}{rr}{5\left(-3\right)+0\times 6}&{5\times 2+0\times 2}\\{-4\left(-3\right)+1\times 6}&{-4\times 2+1\times 2}\end{array}\right]\)
- step2: Evaluate:
\(\left[\begin{array}{rr}{-15}&{10}\\{18}&{-6}\end{array}\right]\)
The result of multiplying the matrices \( \left[\begin{array}{rr}5 & 0 \\ -4 & 1\end{array}\right] \) and \( \left[\begin{array}{rr}-3 & 2 \\ 6 & 2\end{array}\right] \) is:
\[ \left[\begin{array}{rr}-15 & 10 \\ 18 & -6\end{array}\right] \]
Quick Answer
\[ \left[\begin{array}{rr}-15 & 10 \\ 18 & -6\end{array}\right] \]
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