Linear Transformations

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Last updated 5:00 AM on 9/10/25
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6 Terms

1
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linear transformation

y=Ax

2
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a function is called a linear transformation if there exists an n x m matrix such that

T(x)=Ax

3
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a transformation is linear if and only if

the distributive rules apply to the transformation

4
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distribution vector

components add up to 1 and all components are positive or 0

5
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transition/stochastic matrix

square matrix with distribution vector volumns

6
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if A is a transition matrix and x is a distribution vector, then Ax

will be a distribution vector as well

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