Question: True or false: (a) (cA) = c (A), (b) (S 1 AS) = (A), (c) (A 2 ) = (A) 2 , (d) (A 1

True or false:

(a) ρ(cA) = c ρ(A),

(b) ρ(S−1AS) = ρ(A),

(c) ρ(A2) = ρ(A)2,

(d) ρ(A−1) = 1/ρ(A),

(e) ρ(A + B) = ρ(A) + ρ(B),

(f) ρ(AB) = ρ(A) ρ(B).

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