You can put this solution on YOUR website!
I will do a few and let you do the rest
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1. [3 4] [3]
[-1 -1]x=[2]
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This is done with the assumption that you know how to multiply,add,and subtract matrices.
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in this problem we have a 2x2 multiplied by a 2x1 and we of course get a 2x1 answer.
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lets call our unknown matrix x=
so
: =
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3a-4b=3.....eq 1
-1a+b=2.....eq 2
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so now we have a set of linear equations to solve
multiply eq 2 by 3 and add the two equations together. a terms will be eliminated because 3a-3a=0. We are left with -4b+3b=9
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-b=9
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b=-9
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now plug this value into either eq
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-1a+(-9))=2--->-a=2+9--->a=-11
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so x=
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3. x+[1 3 6] [8 1 0]
[-1 2 1]= [14 3 -1]
lets call x=
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so +=
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a+1=8--->a=7
b+3=1--->b=-2
c+6=0--->c=-6
d-1=14-->d=15
e+2=3--->e=1
f+1=-1-->f=-2
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x=
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hope that helps you on your way