- #1
Cankur
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Homework Statement
Consider the transformation T from R2 to R2 that rotates any vector x through an angle of 45 degrees in the counterclockwise direction. You are told that T is a linear transformation. Find the matrix of T.
Homework Equations
The Attempt at a Solution
A vector with components x1 and x2 should become x 2 and x1, seeing that the transformation should rotate the vector 45 degrees. So therefore, the matrix of the transformation should be:
[0 1]
[1 0]