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  3. 1) construct a 2 × 2 examples to prove the fol

1) Construct a 2 × 2 examples to prove the following statements: (a) λ ∈ σ(A) and...

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Basic Math

1) Construct a 2 × 2 examples to prove the followingstatements:

(a) λ ∈ σ(A) and µ ∈ σ(B) 6=⇒ λ + µ ∈ σ(A + B).

(b) λ ∈ σ(A) and µ ∈ σ(B) 6=⇒ λµ ∈ σ(AB).

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