Let L: R2x2 → Pz be a linear transformation defined as follows: L((" ))= (a – b)x² + {b = c = d)x + (a – d) %3D 1. Find the matrix representation of L with respect to_the standard basis of Rx2 {E1,E,2, E 21,E2zl, and the standard basis of P {x*.x,1]. 2. Use (1.) to compute L 3. Find a basis for KertL) 4. Find all malrices A E R²? such that L(A) = 3x + 2x+1,j[ any wloin 16 :0aall ulaloll, noill piil. II

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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algianil alau
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0:39:25 ainll ungl
Let L: R2x2 → P, be a linear transformation defined as follows:
L((* 9)- (a – b)x² + (b = ¢ = d}x + (a – d)
1 Find the matrix representation of L with respect to the standard basis of R2x2
[E,1,E, 2, E21,E2zl, and the standard basis of Py {x²x1].
2. Use (1.) to compute L
3. Find a basis for Kert L)
4. Find all malrices A E R? such that L(A) = 3x² + 2x+1. if any
Ouloin 16 0yiil Jlaloll, noll pill
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Transcribed Image Text:algianil alau اع الملفات 0:39:25 ainll ungl Let L: R2x2 → P, be a linear transformation defined as follows: L((* 9)- (a – b)x² + (b = ¢ = d}x + (a – d) 1 Find the matrix representation of L with respect to the standard basis of R2x2 [E,1,E, 2, E21,E2zl, and the standard basis of Py {x²x1]. 2. Use (1.) to compute L 3. Find a basis for Kert L) 4. Find all malrices A E R? such that L(A) = 3x² + 2x+1. if any Ouloin 16 0yiil Jlaloll, noll pill F7 F8 F9 F10 F11 F12 PrtSc SysRq Insert Scrl Delete Ho 144
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