Consider the vector space of 2 × 2 matrices and consider the following matrices in this space: -1 1 1 1 and B = 1 A = 1 2 Verify that in the standard scalar product on the space of matrices i.e., (A, B) = Tr(A'B), the two matrices are orthogonal to each other. Verify the Pythagoras Law for these matrices.
Consider the vector space of 2 × 2 matrices and consider the following matrices in this space: -1 1 1 1 and B = 1 A = 1 2 Verify that in the standard scalar product on the space of matrices i.e., (A, B) = Tr(A'B), the two matrices are orthogonal to each other. Verify the Pythagoras Law for these matrices.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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