Construct a 2 2 matrix whose elements a_ij are given by (i) a_ij = 2i - j (ii) a_ij = i.j

Question

KnowledgeBoat · Accepted Answer

(i) Given a_ij = 2i - j, ∴ a₁₁ = 2(1) - 1 = 1, a₁₂ = 2(1) - 2 = 0, a₂₁ = 2(2) - 1 = 3, a₂₂ = 2(2) - 2 = 2. Hence, the required matrix =. (ii) Given a_ij = i.j, ∴ a₁₁ = 1.1 = 1, a₁₂ = 1.2 = 2, a₂₁ = 2.1 = 2, a₂₂ = 2.2 = 4. Hence, the required matrix =.

Mathematics

Construct a 2 2 matrix whose elements a<sub>ij</sub> are given by (i) a<sub>ij</sub> = 2i - j (ii) a<sub>ij</sub> = i.j

Matrices

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