Let T be a linear transformation with domain U. Let Vi. ... ,Vm be vectors in U, and Ci. ... , cm be scalars. Prove that T{c1V1 + + cmvm) = c1T{v1) + + cmT(vm) (Can you prove this result by induction?)

MA371: Linear algebra So, you have a matrix… START Is the matrix consistent (1 unique or infinite solution) or inconsistent (no solution) Inconsistent: Consistent: Consistent: the No Solution The solution is only solution is (All Zeros in unique or the zero vector Last column infinite