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RD Chapter 5 Algebra of Matrices Ex 5.4 Solutions

Question - 1 : -

(i) (2A)T = 2 AT

(ii) (A + B)T = AT + BT

(iii) (A – B)T = AT – BT

(iv) (AB)T = BT AT

Answer - 1 : -

(i)


(ii) 


(iii) 


(iv)


Question - 2 : -

(i) A + B)T = AT + BT

(ii) (AB)T = BT AT

(iii) (2A)T = 2 AT

Answer - 2 : -

(i) 

(ii)

(iii)

Question - 3 : -

Answer - 3 : - (i)


(ii)

Question - 4 : -

Answer - 4 : -


Question - 5 : -

Answer - 5 : -


Question - 6 : -

Answer - 6 : -


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