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TRUE OR FALSE?

For every regular transition matrix Athere exists a transition matrix Bsuch that AB=B.

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

Transition of a matrix

If S=v1,....,vn,T=w1,....,wn,the transition matrix is, PST=[w1]S,....,[wn]S.

02

Compute the transition of the matrix

Consider the condition.

AB=AXequAXequAXequ111=XequXequXequ111=B

Thus, the transition matrix exists.

Hence, the given statement is true.

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