If ` x in N and |[x+3,-2],[-3x,2x]|=8` , then find the value of *x*.

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#### Solution

`|[x+3,-2],[-3x,2x]|=8`

⇒(x+3)2x−(−2)(−3x)=8

⇒2x^{2}+6x−6x=8

⇒2x^{2}=8

⇒x^{2}−4=0

⇒x^{2}=4

⇒x=2 [x ≠ -2 ∵ x ∈ N]

Concept: Determinants of Matrix of Order One and Two

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