Q4 of 124 Page 154

Find all possible orders of matrices having 7 elements.

Number of entries = (Number of rows) x (Number of columns) = 7


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


So now a x b = 7 (in this case)


Possible cases are (1 x 7), (7 x 1)


Conclusion: If a matrix has 18 elements, then possible orders are (1 x 7), (7 x 1)


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Write the order of each of the following matrices:

i.


ii.


iii.


iv. D = [8 -3]


v.


vi, F = [6]


 3

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

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

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Construct a 4 × 3 matrix whose elements are given by