Pre-Calc
Monday, April 06, 2009
Section 14.5: Transition Matrices
Transition Matrix:
Provide a mathematical technique for analyzing,
describing, and predicting change
Steady-State Matrix:
Used when values begin to equalize ( ≈ 100%)
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Pre-Calc
Monday, April 06, 2009
Section 14.5: Transition Matrices
Example: Thirty percent of students studying a foreign language
will not continue their studies next year. Twenty percent of
students not studying a foreign language will begin a foreign
language course next year. Suppose sixty percent of the
students are now studying a foreign language.
a) Give the transition matrix and the current population matrix.
b) Find the percent of students studying a foreign language next
year and then two years from now.
c) Show that S = [ 0.4 0.6 ] is the steady-state matrix
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Pre-Calc
Monday, April 06, 2009
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