Chapter 9 - Linear Maps from (R^n) to (R^m)

Section 9.2 - The Kernel and Image Subspaces of a Linear Map

Example 9.2.1

T[x_,y_,z_,w_]:={x−y+z+w,3x+5y+8w,x+7z+8w,x+y+2z+4w,6y+6w,x+2z+3w,−8x+y+11z+4w};

T[-3,5,1,-8]

(A=Transpose[{T[1,0,0,0],T[0,1,0,0],T[0,0,1,0],T[0,0,0,1]}])//MatrixForm

RowReduce[Join[A,ConstantArray[0,{7,1}],2]]//MatrixForm

(ImT=RowReduce[Transpose[A]])//MatrixForm