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Matrices

Short Answer Type

Consider the following information regarding the number of men and women workers in three factories I. II and III

	Men Workers	Women Workers
I	30	25
II	25	31
III	27	26

Represent the above information in the form of a 3 x 2 matrix. What does the entry in the third row and second column represent ?

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In the matrix $straight A equals open square brackets table row 2 5 19 cell negative 7 end cell row 35 cell negative 2 end cell cell 5 over 12 end cell 12 row cell square root of 5 end cell 1 cell negative 5 end cell 17 end table close square brackets. space Write$

(i) The order of the matrix
(ii) The number of elements,
(iii) Write the elements a₁₃,a₂₁ a₃₃ a₂₄’ a₂₃

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If a matrix has 8 elements, what arc the possible orders it can have ?

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

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If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

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6. If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

Number of elements = 12
∴possible orders of the matrix are
1 x 12, 12 x 1,2 X 6. 6 x 2,3 x 4,4 x 3
If numbers of elements = 7, then possible orders are 1 x 7. 7 x 1

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