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Multiplying Two Matrices

Avg difficulty 2.5

Given A A and B: B :

  1. ⓐ Find AB. A B .
  2. ⓑ Find BA. B A .
A=[ −1 2 3 4 0 5 ]and  B=[ 5 −4 2 −1 0 3 ] A = \begin{bmatrix} \begin{matrix}−1 & 2 & 3\end{matrix} \\ \begin{matrix} 4 & 0 & 5\end{matrix} \end{bmatrix} \text{and}\textrm{ }\textrm{ } B = \begin{bmatrix} 5 \\ −4 \\ 2 −1 \\ 0 \\ 3 \end{bmatrix}

OpenStax Algebra and Trigonometry 2e, 11.5 Matrices and Matrix Operations, exercise 19

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.