Question 1

Q1Short answer

–1 kA is invertible and (kA)–1 = A Solution We have  1 –1   1 (kA)  A  =  k .  (A. A–1) = 1 (I) = I k k  1 –1  1 –1 Hence (kA) is inverse of  A  or (kA)–1 = A k k