G saccd.instructure.com D 3 pts) Find a basis for each eigenspace of the matrix A below, given that it has characteristic equation () - 2) (1 - 3)2 - 0 A O D (5 pts) Diagonalize the matrix A given below. You only need to find P and D, not P-1 A - A ON D (5 pts) Find the lease squares approximation and corresponding error the the inconsistent system Ax = b where: A MacBook Prosdccd.instructure.com D (5 pts) Find the B matrix for T (what we have been calling M) if T(x)=Ax where 6 - 2 A = 3 1 -2 and 3 -2 D - CO (5 pts) Find an orthogonal basis for the column space of A = -2 3 -7 00 D (2 pts) If b / 0 then prove A 1 = ( is not diagonalizable. Hint : You can do this, don't be scared by the letters. Find your eigenvalues and go through the process :) Quiz saved at 9:35am Submit Quiz MacBook Pro $ % & O OG sdccd.instructure.com D (5 pts) Verify that u1 , u2 is an orthogonal set where Find the orthogonal projection of y= onto the Span {u1 , uz} D (5 pts) Find the B matrix for T (what we have been calling M) if T(x)=Ax where 6 -2 A and B N CO N N D - Co (5 pts) Find an orthogonal basis for the column space of A = co D (2 pts) If b / 0 then prove A = ( a b is not diagonalizable. Hint: You can do this, don't be MacBook Pro