Prove that the given set B is a basis for the given vector space V. And then, determine if the given vector is in V. If so, find the coordinate vector of ✔ with respect to B. a) B = 0 2 { (²9) · (₂2)⋅ ( ) ( ) }· 2 1 1 V = M₂2x2 (R), v = 5 (₁2) 1 -1 2 b) 8 = {(1, 2) - ( 7² )} V - Spa(8), (1²3) B= = v = 0 -1 1 1 0 2 (c) B = {1, 1+ 2X, 1+ 2X +3X², 1+ 2X + 3X² + 4X³}, V = R³(X), v = 8X³

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