The commutator [X. Y] of two matrices is defined by the equation [X. Y] = XY YX. Two anticommuting matrices A and B satisfy A2 = 1, B2 = 1, [A. B] = 2/C. (a) Prove that C2 I and that [B. C] = 2iA.
The commutator [X. Y] of two matrices is defined by the equation [X. Y] = XY YX. Two anticommuting matrices A and B satisfy A2 = 1, B2 = 1, [A. B] = 2/C. (a) Prove that C2 I and that [B. C] = 2iA.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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