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Mathematics, 14.04.2020 15:51 Jasten

Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). A = 0 −4 2 8 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) (b) nullity(T) (c) range(T) {(s, 0): s is any real number} R2 R3 {(0, t): t is any real number} {(8s, 4t, 19s − 2t): s, t are any real number} (d) rank(T)

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