Math Problem Statement
Recall u⃗ 1=[1,3]u→1=[1,3], u⃗ 2=[0,−3]u→2=[0,−3], v⃗ 1=[−1,0]v→1=[−1,0] and v⃗ 2=[−3,2]v→2=[−3,2], so that B={u⃗ 1,u⃗ 2}B={u→1,u→2} and C={v⃗ 1,v⃗ 2}C={v→1,v→2} are bases of R2R2. Having found the transition matrix PCBPCB in the previous question, now find the coordinates of the following vectors with respect to CC (enter the coordinates as a vector in the form [1,3][1,3]).
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Basis
Coordinate Transformation
Formulas
Change of Basis Formula
Theorems
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Suitable Grade Level
Advanced Undergraduate