In this question, probabilities should be exact and written as rational numbers in the form a/b with a, b integers. In a maths class, 40% of the students prefer Algebra while the rest prefer Calculus. Of those who prefer Algebra, 60% have a textbook, while 40% of those who prefer Calculus have a textbook. If a student in this maths class is chosen at random, find the probability that a) he/she has a textbook, that is, P(has text book) = 0.48 b) he/she prefers Algebra given that he/she does not have a textbook, that is, P(prefers Algebra | does not have a text book) = Number

Number 24 1.1

f.3.2

Diagonalize the matrices in Exercises 7-20, if possible. The roul eigenvalues for Exercises 11-16 and 18 are included below the matrix.