Suppose that x is the fraction of UCSC students who prefer calculus to linear algebra at year k. The remaining fraction y = 1-x prefers linear algebra. 1 '5' of those who prefer calculus change their minds (after taking AM10). At year k + 1, 1 Also at year k+1, 10 because of this exam). of those who prefer linear algebra change their mind (possibly a. (1 pt.) Create the A matrix that gives = b. (2 pts.) Write the characteristic polynomial for A and find the eigenvalues. C. Find the eigenvectors of A.