I'm not sure how to approach this problem. The examples I've come across on the internet show how to find the change of coordinates matrix from a matrix to another matrix, such as B to C (for example).
I came up with an answer but I'm not sure if it's correct.
I started out with the matrix with those three vectors mentioned above:
Then I found the inverse which is the following:
Then I multiplied by the standard basis of a 3x1 vector:
And came up with the following answer:
Is this correct? Something tells me I'm missing something or perhaps I approached the whole thing incorrectly.
