t: R³ → R³ (x, y, z) → (2x, y + z, z-x), and also the linear transformation s given by s: R³ → P3 (a,b,c)→a-b+ (b+c)x+ (a + c)x². vistont (a) Write down the matrix of s, and find the matrix of sot, in both cases with respect to the standard bases for R³ and P3. glemob oli daw 1 to 8 xizm misnob od diod 16) ((0,1,1) (1-1,0) (b) Find Ker s, and describe it geometrically.

t: R³ → R³ (x, y, z) → (2x, y + z, z-x), and also the linear transformation s given by s: R³ → P3 (a,b,c)→a-b+ (b+c)x+ (a + c)x². vistont (a) Write down the matrix of s, and find the matrix of sot, in both cases with respect to the standard bases for R³ and P3. glemob oli daw 1 to 8 xizm misnob od diod 16) ((0,1,1) (1-1,0) (b) Find Ker s, and describe it geometrically.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 12CM

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