(a) Find the coordinate vector of a = with respect to the ordered basis 4 E = of R³: [r]E = (b) Let F be the ordered basis of R² given by F = and let F2 be the ordered basis given by {H} 3 F2 Find the...

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Chapter 3.4 Question 3

Extracted text: (a) Find the coordinate vector of a = with respect to the ordered basis 4 E = of R³: [r]E = (b) Let F be the ordered basis of R² given by F = and let F2 be the ordered basis given by {H} 3 F2 Find the transition matrix Pr-F, such that [x]F, = PE-F[x]F, for all æ in R²: P =