Determine which sets are linearly independent. Explain. (a) (1 point) {1+t+t, 3 2t, t ...

 

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Determine which sets are linearly independent. Explain. (a) (1 point) {1+t+t², 3 — 2t, t – t², −t — t² – t³} in P3. (b) (1 point) {sin(t), cos(t), sin(2t)} in C[0, 1]. (c) (1 point) {1, ln t, ln(2t)} in C(0, ∞), the set of continuous functions on (0, ∞). 0 {][1616]- (d) (1 point) 0 0 in M2x2, the set of 2 x 2 matrices. Determine which sets are linearly independent. Explain. (a) (1 point) {1+t+t², 3 — 2t, t – t², −t — t² – t³} in P3. (b) (1 point) {sin(t), cos(t), sin(2t)} in C[0, 1]. (c) (1 point) {1, ln t, ln(2t)} in C(0, ∞), the set of continuous functions on (0, ∞). 0 {][1616]- (d) (1 point) 0 0 in M2x2, the set of 2 x 2 matrices.