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How do you determine the invariant point in a transformation of a relation?
Wiki User
∙ 13y ago
the invarient point is the points of the graph that is unaltered by the transformation. If point (5,0) stays as (5,0) after a transformation than it is a invariant point
The above just defines an invariant point... Here's a method for finding them:
If the transformation M is represented by a square matrix with n rows and n columns, write the equation;
Mx=x
Where M is your transformation, and x is a matrix of order nx1 (n rows, 1 column) that consists of unknowns (could be a, b, c, d,.. ).
Then just multiply out and you'll get n simultaneous equations, whichever values of a, b, c, d,... satisfy these are the invariant points of the transformation
Wiki User
∙ 13y ago
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