Matrices — Class 12 Maths Solution

ncert exercise SA NCERT,Ex.3.1,Q.No.2,Page.64
Question

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

Step-by-step Solution

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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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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.