Consider the following Matrix A 5 0 4 1 -10 1 1 0 a) Find the inverse of A. b) Find if A can be diagonalized c) Find all Eigenvalues and...

10. Consider the following Matrix A 5 0 41 -101 1 0 a) Find the inverse of A. b) Find if A can be diagonalized c) Find all Eigenvalues and Eigenvectors d) Find det(A) e) Show that the collumns of A form a basis B for 3D real space. 0 Find the change of Basis Matrix and use that to find the coordinates of the Vectorv=<1,0,4> given in standard basis in the collumn basis of A.