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If A and B are n - square matrices then prove that A and B will commute if and only if A - kI and B - kI commute for every scalar k .
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SOLVED: (20 Points) Two n X n matrices A and B are said to commute if AB = BA. Find all matrices (a a) which commute with the matrix (o 1)
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SOLVED: The Pauli matrices are σ1 = (0 1) σ2 = (0 -i) σ3 = (1 0) Show that σ1σ2σ3 = -iσ0, where σ0 is the 2-by-2 identity matrix. b) The general
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