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Unformatted text preview: system. (b) Write the MATLAB commands that would solve the system, with the solution in column vector x . 4. Find all the values of a such that the matrix C = ± 2 a 1 1 ² has the value 1 as one of it’s eigenvalues. 5. Suppose that R : R 2 → R 2 is the linear transformation that corresponds to reﬂection with respect to the line y = x and that P : R 2 → R 2 is the linear transformation that corresponds to orthogonal projection with respect to a unit vector that makes an angle of 45 degrees with respect to the x-axis. (a) Find the eigenvalues of the matrix representing R . What is the geometric meaning of your results? (b) Find the eigenvalues of the matrix representing P . What is the geometric meaning of your results?...
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This note was uploaded on 03/30/2011 for the course MATH 152 taught by Professor Caddmen during the Spring '08 term at The University of British Columbia.
- Spring '08