Previous State from Transition Matrix
A transition matrix A = [[0.8, 0.1, 0.1], [0.1, 0.7, 0.2], [0.1, 0.2, 0.7]] models the movement of students between three schools. If the vector representing the current enrollment is [400, 300, 500], which of the following statements about the enrollment in the previous year is true?
A
Previous enrollment is [320, 210, 670]
B
Previous enrollment cannot be determined from given data
C
Previous enrollment can be found as A⁻¹[400, 300, 500]ᵀ
D
Previous enrollment must equal current enrollment
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