15. Let A be the matrix -3 -5 1 -3 1 A 3 -1 -3 -9 3 and let T : R³ → Rª be the linear transformation defined by T(x) = Ax. By referring to the Fundamental Theorem of Linear Algebra we know that %3D a. dim(ker(T)) + dim(Range(T)) = b. Find a basis for ker(T) and a basis for Range(T). Based on the work done in part b we find that dim(ker(T)) = and dim(Range(T)) С.

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