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If a Matrix Has 8 Elements, What Are the Possible Orders It Can Have? What If It Has 5 Elements? - Mathematics

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Question

If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements?

Sum
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Solution

We know that if a matrix is of order `m xx n` then it has mn elements.

The possible orders of a matrix with 8 elements are given below:
1 x 8, 2 x 4, 4 x 2 , 8 x 1 
 
Thus, there are 4 possible orders of the matrix.


The possible orders of a matrix with 5 elements are given below:
1 x 5, 5 x 1

Thus, there are 2 possible orders of the matrix.

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Chapter 5: Algebra of Matrices - Exercise 5.1 [Page 6]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.1 | Q 1 | Page 6
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