MA 35100 Lecture Notes - Lecture 22: Transformation Matrix
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, t ( [ ;] ) = 2 1 - 2) 3 2 fork) (t) : = [ 2] , y = [ fyi] erz. 1- ( + y) = t ( [ % ] ) = 2 ( ityi ) - zty] , / 2 1 - 2 + zyi - y) 3 2+3 yz for cia = [ 2] c- r2 , s is scalar ; tscx ) = t [{ !] " in fact , we will show that every linear transf mtn. T : rn rm is a matrix transformation . : can be rewritten as 1- (x ) = ax for some mxh matrix a. 3: t ( at bx + ex 2) = [ ] T ( ( a , + b , + c , 2) + ( az + bzxtcz 2) ) = T ( ( ai + az ) + ( bi + bzx ) + ( c , .
