Question

Find the adjoint of matrix A = `[(6, 5),(3, 4)]`

Answer 1

A = `[(6, 5),(3, 4)]`

A₁₁ = (–1)¹⁺¹ M₁₁ = M₁₁ = 4

A₁₂ = (–1)¹⁺² M₁₂ = – M₁₂ = – 3

A₂₁ = (–1)²⁺¹ M₂₁ = – M₂₁ = – 5

A₂₂ = (–1)²⁺² M₂₂ = M₂₂ = 6

adj A = `[("A"_11, "A"_12),("A"_21, "A"_22)]^"T"`

= `[(4, -3),(-5, 6)]^"T"`

= `[(4, -5),(-3, 6)]`