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+1 vote
2.7k views
in Applications of Matrices and Determinants by (48.7k points)
closed by

If I is the unit matrix of order n, where k ± 0 is a constant, then adj(kI) = …

(a) kn(adj I) 

(b) k(adj I) 

(c) k2(adj I) 

(d) kn - 1(adj I)

1 Answer

+1 vote
by (49.4k points)
selected by
 
Best answer

(d) kn - 1(adj I)

When I is a unit matrix of order 3, then adj (kI) = k2(adj I) 

∴ When I is a unit matrix of order n, then adj (kI) = kn - 1(adj I)

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