Let V be the vector space of functions spanned byNLTB = {b₁ = 6 sin x + 7 cos x, b₂ = 5 sin x + 3 cos x} where xz z a f2C={c₁= sinx, C₂ = cos x} where x A, ne Z is also a basis for V. Find the change2of coordinates matrix PC-BPC+BEx: 8The coordinates of a function f(x) relative to the basis B are [f(x)]Bcoordinates of f(x) relative to C and find f(x).f(x) = Ex: 8Ex: 8[f(x)]c[ƒ(2²)le = []sin a tin E Z4[3]0COSTFind the

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Let V be the vector space of functions spanned by B = {b₁ = 6 sin x + 7 cos x, b₂ = 5 sin x + 3 cos x} where x C = {c₁ = sin x, C₂ = cos x} where x of coordinates matrix P C-B P = C-B Ex: 8 [f(x)]c = Ex: 8 nn 2 The coordinates of a function f(a) relative to the basis Bare [ƒ(*)] = [₁] coordinates of f(x) relative to C and find f(x). f(x) = Ex: 8 nn ,n € Z is also a basis for V. Find the change 2 sin x + ,ne Z COS X Find the

Let V be the vector space of functions spanned by B = {b₁ = 6 sin x + 7 cos x, b₂ = 5 sin x + 3 cos x} where x C = {c₁ = sin x, C₂ = cos x} where x of coordinates matrix P C-B P = C-B Ex: 8 [f(x)]c = Ex: 8 nn 2 The coordinates of a function f(a) relative to the basis Bare [ƒ(*)] = [₁] coordinates of f(x) relative to C and find f(x). f(x) = Ex: 8 nn ,n € Z is also a basis for V. Find the change 2 sin x + ,ne Z COS X Find the

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 43EQ

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