Class 12 Mathematics - Chapter Matrices NCERT Solutions | If a matrix has 24 elements, what are th
If a matrix has 24 elements, what are the possible order it can have? What, if it has 13 elements?
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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2 Comment(s) on this Question
12*1, 1*12, 4*3, 3*4, 6*2, 2*6
If a matrix has 12 elements, what are the possible order it can have?
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