7. 8.00 L of a gas has a pressure of 2 atm at 200 K What will be its volume at 1 atm and 100 K? (a) What formula should you use?
(b) Solve the problem:

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.