Question

If A = `[(1, 1, 0),(2, 1, 5),(1, 2, 1)]`, then a₁₁A₂₁ + a₁₂A₂₂ + a₁₃A₂₃ is equal to ______.

पर्याय

• 1

• 0

• –1

• 2

Answer 1

If A = `[(1, 1, 0),(2, 1, 5),(1, 2, 1)]`, then a₁₁A₂₁ + a₁₂A₂₂ + a₁₃A₂₃ is equal to 0.

Explanation:

Given, A = `[(1, 1, 0),(2, 1, 5),(1, 2, 1)]`

Since, the sum of the product of element other than the corresponding cofactor is zero.

∴ a₁₁A₂₁ + a₁₂A₂₂ + a₁₃A₂₃ = 0