Question 8: Find the inverse of linear transformation
Inverse of the transformation is .
We have given a linear transformation with
Let T be linear transformation from .
Then, according to given equations.
The matrix representation of T by 2x2 matrix.
Inverse of matrix is calculated as
First of all we will find the determinant of matrix.
Inverse of matrix= .
Hence, inverse of the transformation will be
Hence, inverse of the transformation isdata-custom-editor="chemistry"
In this exercise we will verify part (b) of Theorem 2.3.11 in the special case when A is the transition matrix is the distribution vector . [We will not be using parts (a) and (c) of Theorem 2.3.11]. The general proof of Theorem 2.3.11 runs along similar lines, as we will see in Chapter 7.
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