(a) Let Find vectors -12 -5] -- -- [18-[1] 1 = = S = -5 to...

 

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(a) Let Find vectors -12 -5] -- -- [18-[1] 1 = = S = -5 to U₁ = A = U₂ = in R² such that S is the transition matrix from (v1, v2} to {u₁, u₂}- (b) Let P4 be the vectors space of all polynomials of degree less than four. Find the transition matrix A representing the change of basis from the ordered basis {-8,7x, 12x², -4x³} {1,1+x, 1+x+x²,1+x+x² + x³}. 10 Note: You can earn partial credit on this problem. (a) Let Find vectors -12 -5] -- -- [18-[1] 1 = = S = -5 to U₁ = A = U₂ = in R² such that S is the transition matrix from (v1, v2} to {u₁, u₂}- (b) Let P4 be the vectors space of all polynomials of degree less than four. Find the transition matrix A representing the change of basis from the ordered basis {-8,7x, 12x², -4x³} {1,1+x, 1+x+x²,1+x+x² + x³}. 10 Note: You can earn partial credit on this problem.