Math  /  Algebra

QuestionDetermine whether or not the following matrix is a regular stochastic matrix. [0.400.70.310.30.300]\left[\begin{array}{lll} 0.4 & 0 & 0.7 \\ 0.3 & 1 & 0.3 \\ 0.3 & 0 & 0 \end{array}\right]
Choose the correct answer below. A. The given stochastic matrix is a regular stochastic matrix because all powers have entries that equal 0 . B. The given stochastic matrix is not a regular stochastic matrix because it has all positive entries. C. The given stochastic matrix is a regular stochastic matrix because it has all positive entries. D. The given stochastic matrix is not a regular stochastic matrix because each power of the matrix has at least one entry that is zero.

Studdy Solution
Determine the correct answer choice based on the findings.
Since each power of the matrix has at least one entry that is zero, the correct answer is:
D. The given stochastic matrix is not a regular stochastic matrix because each power of the matrix has at least one entry that is zero.

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