DeterminantHard

Question

If F (α) = and G (β) =, then [F (α) G (β)]-1 =

Options

A.F (α) - G(β)
B.- F (α) - G(β)
C.[F(α)]-1 [G(β)]-1
D.[G(β)]-1 [F(α)]-1

Solution

|F| ≠ 0 and  |G| ≠ 0
As we known    [AB]-1 = B-1 A-1
∴  [F(α) G(β)]-1 = [G(β)]-1[F(α)]-1

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