TS ICET 2015 Question Paper with Solutions for online practice

Question : 139 of 200

Marks: +1, -0

If det A = 5 for a 3 x 3 matrix A, then det (5A) =

Solution:

Given : det A = 5 and A is a 3 × 3 matrix.
We have, for nth order matrix A,
det(KA) = Kn.det A
Here, n = 3

∴\det(5A)=5^^3\detA=5^3×5=5^4

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