Consider the following sets. (i) All vectors (a, b) in R2 such that ab ≠ 0....

Consider the following sets.

(i) All vectors (a, b) in R² such that ab ≠ 0.

(ii) All matrices A in M₂₂ such that A^T = −A.

(iii) All polynomials a₀ + a₁x + a₂x² in P₂ such that a₀ = 0.

Determine whether each of the above sets is closed under addition or NOT closed under addition .

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Expert Solution

Colby Messinger answered 4 weeks ago

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