Finding and using the matrix of a linear transformation relative to non standard bases

[shreyupalley]

hahhahah didnt expect that ending. love it :))

[santiagocortes]

thanks to you i can do my linear algebra homework

[libelldrian]

Thanks David!
This was a nice exercise tackling several closely related problems that often get confused with one another.
Similar problems are often state with ambiguity, for example, I wasn't sure at the beginning if you meant to write the vector v =(2, 4, 6) with respect to the standard basis or B.

[peakyblinders]

What is the real life application of this tho? thanks btw.