Do 1 and 2 LetLet f: R².be two different bases for R².a. Find the matrix [f] for f relative to the basis B.[f] B→ R² be the linear transformation defined byb. Find the matrix [f] for f relative to the basis C.[f] =c. Find the transition matrix [] from C to B.[18[1]BCe. On paper, check that [g] = [f(x)==d. Find the transition matrix [ng from B to C. (Note: 1 = ([18) ¹.)-3Z.{(1,-2), (-2,3)},{(-1,-1), (2,3)},

Let f:ℝ2→ℝ2 be the linear transformation defined by fx→=1-23-3x→ Let B=1, -2, -2, 3, C=-1, -1, 2,…

Let Let f: R² R² be the linear transformation defined by be two different bases for R². a. Find the matrix [f] for f relative to the basis B. [f]B b. Find the matrix [f] for f relative to the basis C. [f] = c. Find the transition matrix [ from C to B. [18 [nº f(z) (-)- [ 3 ] ² -3 d. Find the transition matrix [ng from B to C. (Note: 1 = ([48) ¹.) e. On paper, check that [I[= [c B = {(1,-2), (-2,3)}, {(-1,-1), (2,3)}, C

Let Let f: R² R² be the linear transformation defined by be two different bases for R². a. Find the matrix [f] for f relative to the basis B. [f]B b. Find the matrix [f] for f relative to the basis C. [f] = c. Find the transition matrix [ from C to B. [18 [nº f(z) (-)- [ 3 ] ² -3 d. Find the transition matrix [ng from B to C. (Note: 1 = ([48) ¹.) e. On paper, check that [I[= [c B = {(1,-2), (-2,3)}, {(-1,-1), (2,3)}, C

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 4EQ: In Exercises 1-12, determine whether T is a linear transformation. 4. defined by , where B is a...

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