Question #350097

Instructions





Upload photos of your answer sheet showing your name and solution. (2 items x 10 points)





1. Find A-B using the following matrices:





5





6 1





2





9





3





A=-3





5





8





B=|





81





4










3





3





4





67





-5





-1





2. Find AB using the following matrices:





A=





1 2





3





B=





+ Prepare answer





7





9





8





10





4 5 6





11





12






1
Expert's answer
2022-06-13T15:00:47-0400

1.


AB=(561358467)(293403513)A-B=\begin{pmatrix} 5 & 6 & 1 \\ -3 & 5 & 8 \\ 4 & 6 & 7 \\ \end{pmatrix}-\begin{pmatrix} 2 & 9 &3 \\ 4 & 0 & 3 \\ -5 & -1 & 3 \\ \end{pmatrix}

=(5269133450834(5)6(1)73)=\begin{pmatrix} 5-2 & 6-9 & 1-3 \\ -3-4 & 5-0 & 8-3 \\ 4-(-5) & 6-(-1) & 7-3 \\ \end{pmatrix}

=(332755974)=\begin{pmatrix} 3 & -3 & -2 \\ -7 & 5 & 5 \\ 9 & 7 & 4 \\ \end{pmatrix}

2.

AB=(123456)(789101112)AB=\begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ \end{pmatrix}\begin{pmatrix} 7 & 8 \\ 9 & 10 \\ 11 & 12 \\ \end{pmatrix}

=(1(7)+2(9)+3(11)1(8)+2(10)+3(12)4(7)+5(9)+6(11)4(8)+5(10)+6(12))=\begin{pmatrix} 1(7)+2(9)+3(11) & 1(8)+2(10)+3(12) \\ 4(7)+5(9)+6(11) & 4(8)+5(10)+6(12) \\ \end{pmatrix}


=(5864139154)=\begin{pmatrix} 58 & 64 \\ 139 & 154 \end{pmatrix}


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