Page 1 of 1
1. Let T: P2 → P3 be the linear transformation defined by T(p(x)) = xp(x). (a) Find the matrix for T relative to the sta
Posted: Fri Jul 08, 2022 5:31 am
by answerhappygod
- 1 Let T P2 P3 Be The Linear Transformation Defined By T P X Xp X A Find The Matrix For T Relative To The Sta 1 (25.21 KiB) Viewed 24 times
1. Let T: P2 → P3 be the linear transformation defined by T(p(x)) = xp(x). (a) Find the matrix for T relative to the standard bases where = {u₁, U2, U3} and B' = {V₁, V2, V3, V4} u₁=1, u₂=X, U3 = x V₁=1, V2=X, V3=x², V4=x² (b) Verify that the matrix [7] B', obtained in part (a) satisfies Formula 5 for every vector x=co+c₁x+c₂x² in P2