Elements in a matrix refer to the individual numbers or entries arranged in rows and columns. Each element is identified by its position denoted as aᵢⱼ where i represents the row number and j represents the column number. These elements are used in various matrix operations.
Class 12 Maths Chapter 3 on Determinants involves square arrays of numbers used to solve linear equations. It covers properties of determinants calculation of 2×2 and 3×3 determinants cofactor expansion adjoint method Cramer’s rule and their applications in finding areas of triangles and solving systems of linear equations using matrices and determinants.
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A matrix with 5 elements can have different possible orders, provided that the total number of elements is the product of its rows and columns.
Let the number of rows be m and the number of columns be n, then:
m × n = 5
The possible values of (m, n) that satisfy this equation are:
– 1 × 5 (1 row and 5 columns)
– 5 × 1 (5 rows and 1 column)
Since both 1 × 5 and 5 × 1 are possible, the correct answer is:
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