Answer to Question #350097 in Linear Algebra for Youm

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.


"A-B=\\begin{pmatrix}\n 5 & 6 & 1 \\\\\n -3 & 5 & 8 \\\\\n 4 & 6 & 7 \\\\\n\\end{pmatrix}-\\begin{pmatrix}\n 2 & 9 &3 \\\\\n 4 & 0 & 3 \\\\\n -5 & -1 & 3 \\\\\n\\end{pmatrix}"

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

"=\\begin{pmatrix}\n 3 & -3 & -2 \\\\\n -7 & 5 & 5 \\\\\n 9 & 7 & 4 \\\\\n\\end{pmatrix}"

2.

"AB=\\begin{pmatrix}\n 1 & 2 & 3 \\\\\n 4 & 5 & 6 \\\\\n\\end{pmatrix}\\begin{pmatrix}\n 7 & 8 \\\\\n 9 & 10 \\\\\n 11 & 12 \\\\\n\\end{pmatrix}"

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


"=\\begin{pmatrix}\n 58 & 64 \\\\\n 139 & 154\n\\end{pmatrix}"


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