Three school children shared some oranges as follows; Akwasi get 1 out of 3 of the total and the remainder is shared between Abena and Jantuah in the ratio 3:2 respectively. If Jantuah gets 24 oranges, (i). how many oranges did Abena get? (ii). find the total number of oranges; (iii). how many oranges did Akwasi get?

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.