What is the sum of the first five terms of the geometric series 3 − 6 + 12 − . . ? hint: r ≠ 1, where a1 is the first term and r is the common ratio. hint: image attached options: a) s5 = −136 b) s5 = −33 c) s5 = 12 d) s5 = 33

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.