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  • Algebra of Matrices Ex 5.1 Qt X n, it has mn elements. Thus ......Algebra of Matrices Ex 5.1 Qt We know that if a matrix is of the order m X n, it has mn elements.Thus, to find all
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gebra of Matrices Ex 5.1 Qt We know that i f a matrix is of the order m X n, it has mn elements . Thus, to find all the possible orders of a matrix havi ng 8 elements , we have to find all the ordered pairs of natural numbers whose products i s 8. The ordered pa i r s are: (1 X 8 ) , ( 8 X 1 ), (2 X 4), (4 X 2) ( 1 , 5 ) a nd ( 5 , 1 ) are the orde r ed pairs of natural numbers whose product i s 5. Hence, the possi ble orders of a matrix having 5 el ements are 1 X 5 a nd 5 X 1 gebra of Matrices Ex 5.1 Q2

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Page 1: Algebra of Matrices Ex 5.1 Qt X n, it has mn elements. Thus ......Algebra of Matrices Ex 5.1 Qt We know that if a matrix is of the order m X n, it has mn elements.Thus, to find all

Algebra of Matrices Ex 5.1 Qt

We know that if a matrix is of the order m X n, it has mn elements. Thus, to find all the possible orders of a matrix having 8 elements, we have tofind all the ordered pairs of natural numbers whose products is 8.

The ordered pairs are: (1 X 8), (8 X 1), (2 X 4), (4 X 2)

( 1,5) and (5, 1) are the ordered pairs of natural numbers whose product is 5.

Hence, the possible orders of a matrix having 5 elements are 1 X 5 and 5 X 1

Algebra of Matrices Ex 5.1 Q2

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