Let L1, L2, and L3 be linear transformations of R3 into R2 defined by

Prove that S = {L1, L2, L3} is a linearly independent set in the vector space U of all linear transformations of R3 into R2.

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Li ([141 し2 ([141 し3 ([11 i 112 112 u2 us]) = [μί +112 ul-113j: u3])=[w1-112 113], and us]) = [11 i 11 2 + 113].