Consider the two linear functions h: R3 P2 and 9: P2 → M2x2 given as here. a b → (a+b)x² + (2a + 2b)x + c px²+qx+r › C² P P-2q C Use these bases for the spaces. B = | C=(1+x,1x,x²) D= " " 3 " (a) Give the formula composition map go f: R³ → M2x2 directly from the above definition. (b) Represent ƒ and g with respect to the appropriate bases. (c) Represent gf with resepct to the appropriate bases. (d) Check that the two matrices from the second part multiply to the matrix from the third part.
Consider the two linear functions h: R3 P2 and 9: P2 → M2x2 given as here. a b → (a+b)x² + (2a + 2b)x + c px²+qx+r › C² P P-2q C Use these bases for the spaces. B = | C=(1+x,1x,x²) D= " " 3 " (a) Give the formula composition map go f: R³ → M2x2 directly from the above definition. (b) Represent ƒ and g with respect to the appropriate bases. (c) Represent gf with resepct to the appropriate bases. (d) Check that the two matrices from the second part multiply to the matrix from the third part.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
Question
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