For a 2 × 2 matrix A = 
with a, b, c, d ∈ ℂ, find algebraic conditions on a, b, c, d that are equivalent to A being: (a) Hermitian; (b) unitary; (c) positive definite; (d) positive semidefinite; (e) normal.
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For a 2 × 2 matrix A = with a, b, c, d ∈ ℂ , find algebraic conditions on a, b, c, d…
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