If A and B are square matrices of the same order, then (i) (AB) = ............ (ii) (kA) = ......... (where, k is any scalar) (iii) [k(A - B)] = ............

(i) (AB) = B A (ii) (kA) = k A (iii) [k(A - B)] = k ( A - B )

Matrices — Class 12 Maths Solution

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Question

If A and B are square matrices of the same order, then
(i) ${(AB)^\prime } =$............
(ii) ${(kA)^\prime } =$......... (where, $k$ is any scalar)
(iii) ${[k(A - B)]^\prime } =$............

Step-by-step Solution

(i) ${(AB)^\prime } = {B^\prime }{A^\prime }$
(ii) ${(kA)^\prime } = k{A^\prime }$
(iii) ${[k(A - B)]^\prime } = k\left( {{A^\prime } - {B^\prime }} \right)$

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.