Question

Linear algebra: change of basis

Answer 1

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Answer 2

I'm not really sure what the hint is telling me to do... we only went over change of basis in terms of multiplying by \(V^{-1}U\) for B_1 with column vectors U and B_2 with column vectors V (to transition from B_1 to B_2)... wat do?

Answer 3

In particular, I run into major issues when trying to calculate W^-1 since I have no idea what it is...

Answer 4

I assume (am I correct?) that my change of coordinate matrix is going to be
\(W^{-1}U\)
which is equal to
\([w_1,w_2,w_3]^{-1}[2w_1-w_2+w_3,3w_2+w_3,-3w_1+2w_3]\)
but where do I go from here?

Answer 5

hi