Sheldon makes a scale model of his bedroom. The dimensions of the floor of the model are 15cm long and 12.5cm wide. He uses a scale of 1: 40.What is the actual length of his room?

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.