2. Let P2(R) be the vector space of polynomials over R up to degree 2. Consider{1+x – 2x², –1+ x+x²,1 – x + x²},{1– 3r + a²,1 – 3x – 2a°, 1 – 2x + 32²} .В=B'Find the coordinate matrices of p(r) = 9x?+4x – 2 relative to the bases B and B'.Verify that[x(p)]B = PB-¬B' [x(p)B].

Consider the provided question, Given that, B=1+x-2x2, -1+x+x2, 1-x+x2B'=1-3x+x2, 1-3x-2x2,…

Let P2(R) be the vector space of polynomials over R up to degree 2. Consider {1+x – 2x?, –1 +x+x², 1 – x + x²} , {1– 3r + 2², 1 – 3x – 2a², 1 – 2r + 32²} . B B' Find the coordinate matrices of p(x) = 9x²+4x – 2 relative to the bases B and B'. Verify that [x(p)]g' = PB¬B' [x(p)B].

Let P2(R) be the vector space of polynomials over R up to degree 2. Consider {1+x – 2x?, –1 +x+x², 1 – x + x²} , {1– 3r + 2², 1 – 3x – 2a², 1 – 2r + 32²} . B B' Find the coordinate matrices of p(x) = 9x²+4x – 2 relative to the bases B and B'. Verify that [x(p)]g' = PB¬B' [x(p)B].

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 24EQ

See similar textbooks