Question

If A is an invertible square matrix and k is a non-negative real number then (KA)^-1 = ?

A. k.A^-1

B. 1/k.A-1

C. -k.A^-1

D. None of these

Answer 1

y the property of inverse 

(AB)^-1 = B^-1A ^-1 

(KA)^-1= A^-1K^-1

= 1/k A^-1