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

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24 = 1 X 24 = 2 X 12 = 3 X 8 = 4 X 6 = 6 X 4 = 8 X 3 = 12 X 2 = 24 X 1 So, there are 8 orders possible. Similarly 13 = 1 X 13 and 13 X1, So, only 2 orders are possible.
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We know that if a matrix is of the order m × n, it has mn elements. Thus, to find all the possible orders of a matrix having 24 elements, we have to find all the ordered pairs of natural numbers whose product is 24. The ordered pairs are: (1, 24), (24, 1), (2, 12), (12, 2), (3, 8), (8, 3), (4,...
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We know that if a matrix is of the order m × n, it has mn elements. Thus, to find all the possible orders of a matrix having 24 elements, we have to find all the ordered pairs of natural numbers whose product is 24.

The ordered pairs are: (1, 24), (24, 1), (2, 12), (12, 2), (3, 8), (8, 3), (4, 6), and
(6, 4)

Hence, the possible orders of a matrix having 24 elements are:

1 × 24, 24 × 1, 2 × 12, 12 × 2, 3 × 8, 8 × 3, 4 × 6, and 6 × 4

(1, 13) and (13, 1) are the ordered pairs of natural numbers whose product is 13.

Hence, the possible orders of a matrix having 13 elements are 1 × 13 and 13 × 1.

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Professipnal teacher of science maths and computers with 10 years of experience in teaching

Possible orders for 24 elements are 1×24 2×12 3×8 4×6 6×4 8×3 12×2 24×1
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Professipnal teacher of science maths and computers with 10 years of experience in teaching

Possible orders for 24 elements are 1×24 2×12 For 13 elements possible orders are 1×13 and 13×1 3×8 4×6 6×4 8×3 12×2 24×1
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6*4, 8*3, 12*2, 24*1, 4*6, 3*8, 2*12, 1*24 and similar 13 also 13*1, 1*13. just factories
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If the matrix has 24 elements the possible orders are6X4,4X6,12X2,2X12,3X8,8X3 If it has 13 elements- 13X1,1X13
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