Show that T is a linear transformation by finding a matrix that implements the mapping. Note...

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Show that T is a linear transformation by finding a matrix that implements the mapping. Note that X1, X2, ... are not vectors but are entries in vectors. T(x1,x2 x3) = (x13x2 + 3x3, x2 - 9x3) A = (Type an integer or decimal for each matrix element.) Show that T is a linear transformation by finding a matrix that implements the mapping. Note that X1, X2, ... are not vectors but are entries in vectors. T(x1,x2 x3) = (x13x2 + 3x3, x2 - 9x3) A = (Type an integer or decimal for each matrix element.)