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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,x4)=3X1+4X3-2X4 (T:R^4---->R)
Let L be the linear operator on R^3 defined by L(x) =(x2+x3,x1+x3,x1+x2)^T. Determine the standard matrix representationA of L and use A to find L(x) for x = (5,3,7)^T