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Question 1 - Suppose that each year 30% of CSUF students who prefer calculus to linear algebra switch their preference to linear algebra (possibly after taking Math 250B). Also, 10% of those who prefer linear algebra switch their preference to calculus (possibly because of this exam). Let xn be the fraction who prefer calculus, and yn = 1 - xn the percentage who prefer linear algebra at year n. Assume that at year 0 everybody prefers calculus.
(a) Find the matrix A in
(b) Determine the fraction who prefer linear algebra at year n, and the fraction who prefer linear algebra in the long run.
Question 2 - Determine if the setforms a basis for M2x3.
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