Finding an expression for x and y variables in terms of the corresponding image X and Y variables, find the image of the line y=2x−7 under the transformation given by M=(1−3−32)

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Finding an expression for x and y variables in terms of the corresponding image X and Y variables, find the image of the line y=2x−7 under the transformation given by  M=(1−3−32)

trovabile4p · Accepted Answer

Step 1  (1−3−32)(xy)=(x−3y−3x+2y)=(XY).  So, if  y=2x−7,  then  X=x−3y=−5x+21  and  Y=−3x+2y=x−14

shimmertulipsog · Accepted Answer

Step 1  Write the equation in matrix form:  (2−1)(xy)=7.  Step 2  Modify the equation so it includes  (XY)=(1−3−32)(xy)  [(2−1)(1−3−32)−1][(1−3−32)(xy)]=7  Step 3  Simplify:  (−17−57)(XY)=7.  So we have X+5Y=−49

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