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On page 192 of the first edition of the book, it says “Let A be the matrix representation of a linear map f, written with respect to the standard basis. Let U be a change of basis matrix. That is, the columns of U are the new basis vectors, and if we were to write f with respect to the new basis, its matrix would be B = UAU⁻¹.”
In fact, a matrix consisting of the basis vectors of U converts a vector from the U basis to the standard basis, so B should equal U⁻¹AU.
The text was updated successfully, but these errors were encountered:
On page 192 of the first edition of the book, it says “Let A be the matrix representation of a linear map f, written with respect to the standard basis. Let U be a change of basis matrix. That is, the columns of U are the new basis vectors, and if we were to write f with respect to the new basis, its matrix would be B = UAU⁻¹.”
In fact, a matrix consisting of the basis vectors of U converts a vector from the U basis to the standard basis, so B should equal U⁻¹AU.
The text was updated successfully, but these errors were encountered: