Recent content by ItsKP

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    Finding Eigenvectors for a Real Canonical Form of Matrix A

    Homework Statement Let A= [0 2 1;-2 3 0;1 0 2] Determine a real canonical form of A and give a change of basis matrix P that brings the matrix into this form. Homework Equations The Attempt at a Solution I found my eigenvalues to be 0, 2+i and 2-i. So, taking 2+i, I get the real...
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    Linear algebra involving dot product and orthongal matrices

    Homework Statement Given: x (dot) y = x^T * y (where x,y are vectors; dot is dot product; and x^T is x transpose) and R is an orthogonal nxn matrix, and x,y are elements of R^n Show ||Rx|| = ||x|| The Attempt at a Solution I'm not sure what information I am suppose to use to solve...