Let B be the basis of R^2 consisting of the vectors(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\left(\begin{array}{c}3 & 1 \end{array}\right)[/tex] and [tex]\left(\begin{array}{c}-1 & 3 \end{array}\right)[/tex]

Let R be the basis consisting of

[tex]\left(\begin{array}{c}2 & 3 \end{array}\right)[/tex] and [tex]\left(\begin{array}{c}1 & 2 \end{array}\right)[/tex]

find a matrix P such that [tex] [x]_R= P [x]_B[/tex] for all x in R^2[/tex]

the answer should be a 2x2 matrix but I dont see how that is possible since [x] is only a column vector. I'm not sure how to solve this problem. any ideas?

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# Homework Help: Basis of vector

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