class 12 maths matrices

If a matrix has 24 elements, what are the possible orders it can have? What if, it has 13 elements?

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📘 Matrices NCERT,Ex.3.1,Q.No.2,Page.64 SA

If a matrix has 24 elements, what are the possible orders it can have? What if, it has 13 elements?

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We know that a matrix of order m × n, has mn elements.
Thus, all possible ordered pairs are (1, 24), (24, 1), (2, 12), (12, 2), (3, 8), (8, 3), (4, 6), (6, 4).
The matrix with 13 elements has possible order 1 × 13 and 13 × 1.

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