.I've been staring at these two problems for hours and I can't seem to figure them out. They seem to have nothing to do with the rest of the problem set and my professor said nothing about them in class... Will give a million thanks a kiss in advance!
1. Let [-7 1 1 -7]
Find a basis of the subspace of consisting of all vectors perpendicular to .
[_ _ _ _ ], [_ _ _ _ ], [_ _ _ _ ]
You have to find a basis for the solution space of (why?). This basis is what you want.
Let be the basis of consisting of the vectors
[5 -3] and [2 5] ,
and let be the basis consisting of
[-2 1] and [3 -2 ] .
Find a matrix such that for all in .
[_ _] <-----(2x2 matrix)
You have to find the matrix of the transformation that maps one basis into the other one (transition map/matrix)...
(All vectors should be column vectors, I had to change them because they didn't copy right)
Thanks in advance!