A company has developed a new video game console. After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is f(g)=−250g2+70,000g−4,570,000 where g is the number of consoles sold. What is the domain of the profit function?

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.