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If A={bmatrix} 1 & 1 & -2 2 & 1 & -3 5 & 4 & -9 {bmatrix}, f

Question

If $A = ⎣ ⎡ 125114 - 2 - 3 - 9 ⎦ ⎤$ , find |A|.

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Harper Discussed

A = ⎣ ⎡ 125114 - 2 - 3 - 9 ⎦ ⎤

, find |A|.

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Text solutionVerified

A = ⎣ ⎡ 125114 - 2 - 3 - 9 ⎦ ⎤

∣ A ∣ = ∣ ∣ 125114 - 2 - 3 - 9 ∣ ∣

Applying

C_{2} = C_{2} + C_{1}

∣ A ∣ = ∣ ∣ 125239 - 2 - 3 - 9 ∣ ∣

Taking common

- 1

from third common we get,

∣ A ∣ = - ∣ ∣ 125239239 ∣ ∣ = 0

Since second and third column are same.

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