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Change of basis using RowReduce

Posted 5 years ago

I'm trying to set up a change of basis matrix from the base W -> V and then verify that it works by seeing that the co-ordinates on the x-vector changes as they should. I'm supposed to use the Inverse function, but I don't know what to do with it. I could really appreciate some help. This is what I've got so far:

V = {{1, 3}, {4, 6}}
W = {{4, 6}, {2, 5}} 

x = {6, 6}

So, my question is, how do I do I setup the change of basis matrix from W -> V, and then verify it?

Thanks in advance.

POSTED BY: Jhn Doe
3 Replies

Why don't you begin by describing what one would do so as to obtain the change-of-basis matrix (before necessarily involving Mathematica): express each vector of the new basis as a linear combination of the vectors in the old basis.

POSTED BY: Murray Eisenberg
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