Q3 of 124 Page 154

If a matrix has 18 elements, what are the possible orders it can have?

Number of entries = (Number of rows) x (Number of columns) = 18


If order is (a x b) then, Number of entries = a x b


So now a x b = 18 (in this case)


Possible cases are (1 x 18), (2 x 9), (3 x 6), (6 x 3), (9 x 2), (18 x 1)


Conclusion: If a matrix has 18 elements, then possible orders are (1 x 18), (2 x 9), (3 x 6), (6 x 3), (9 x 2), (18 x 1)


More from this chapter

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1

If then write

i. the number of rows in A,


ii. the number of columns in A,


iii. the order of the matrix A,


iv. the number of all entries in A,


v. the elements a23, a31, a14, a33, a22 of A.


2

Write the order of each of the following matrices:

i.


ii.


iii.


iv. D = [8 -3]


v.


vi, F = [6]


 4

Find all possible orders of matrices having 7 elements.

 5

Construct a 3 × 2 matrix whose elements are given by aij = (2i – j).