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Chapter 2: Q14E (page 108)

TRUE OR FALSE?

A=[11/201/2] is a regular transition matrix.

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Definition of the transition matrix

To double-check for the transition matrix, compute the square of the matrix. If the elements are non-zero, then, the matrix is said to be a regular transition matrix.

02

Compute the square of the matrix

Consider the given matrix.

A=11/201/2

The matrix can be a transition matrix, as, all the elements are positive.

Let鈥檚 check for a square of the matrix.

A2=11/201/211/201/2=134014

As the above matrix also has a zero element in the same position, thus, this is not a transition matrix.

Hence, the given statement is false.

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