SOLUTION: Find matrix X: AX= B 1. A= [6,5] B= [18,49] [4,-2] [-20,6] 2. A= [3,4] B= [10,-10] [-3,-2] [-8,8]

 

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We must find the inverse of matrix A in order to solve for x

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A= [6,5]    

   [4,-2]

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take terms and  and switch their positions. This is simply switching the elements on the main diagonal 

 

take terms and  and change those numbers to their opposites keeping there positions.



-revised matrix

:now we find the determinant of this matrix

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product of the main diagonal minus the product of the off diagonal

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we take that result and divide every element in the revised matrix  and the result is our inverse matrix

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Now we have to multiply each side of the equation AX=B by the matrix A's inverse

On the left hand side we will end up with the indentity matrix multiplied by X which is equal to just X. So 

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A= [6,5]    B= [18,49]

   [4,-2]      [-20,6]

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so 

X=*---->

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=

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2) I will leave the details and steps of # 2 to you 

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the answer is