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  4. If each element of third order determinant of value Δ is multiplied by 4, then value of the new determinant is:

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Q. If each element of third order determinant of value $\Delta$ is multiplied by 4, then value of the new determinant is:

Determinants

Solution:

Value of the new determinant
$ = (4)^{order \, of \, det.} \Delta = 4^3 \, \Delta = 64 \, \Delta.$