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Suppose B = {b1,b2} is basis for linear space V and C = {⃗c1,⃗c2,⃗c3} is a...

Suppose B = {b1,b2} is basis for linear space V and C = {⃗c1,⃗c2,⃗c3} is a basis for linear space W. Let T : V → W be a linear trans- formation with the property that ⃗ T ( b 1 ) = 3 ⃗c 1 + ⃗c 2 + 4 ⃗c 3 , ⃗ T ( b 2 ) = 4 ⃗c 1 + 2 ⃗c 2 − ⃗c 3 . Find the matrix M for T relative to B and C.

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