Question: Please help. (13 points in total) (a) (8 points) Determine whether the set {L11 3L: ill32 :]'[43 :1501} is a spanning set for M2 (R)

Please help.

(13 points in total) (a) (8 points) Determine whether the set {L11 3L: ill32 :]'[43 :1501} is a spanning set for M2 (R) a linearly independent set, both (that is, a basis), or neither. Justify your answer. (b) (5 points) Suppose that W is a 4-dimensional subspace of 9 with basis {f1, f2, f3, f4}. Let 91,92,513 E 9' be the functions 91=f1+2f2f3+f4 .92 = '4f16f2+2f33f4 Q3=2f1+f2+7f3+f4 Determine whether 91,92, 93 are linearly independent. Justify your

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