1 1 6. Let B= { 1 } and y={ 1 } Find the change-of-coordinates matrix from B-coordinates to y-coordinates in two different ways: (a) Column-by-column. (b) In terms of the change-of-coordinates...

Provide a step by step explaination that includes any definitions or theorems. Try to be as detailed as possible in your explaination.

Extracted text: 1 1 6. Let B= { 1 } and y={ 1 } Find the change-of-coordinates matrix from B-coordinates to y-coordinates in two different ways: (a) Column-by-column. (b) In terms of the change-of-coordinates matrices from each coordinate system to standard coordinates. O