# Representing data with matrices

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We will now look at an example of how matrices may be used to represent information.

Example :

A store sells large and small sizes of blue shirts and yellow shirts. The selling price of either shirt is \$x for a large size and \$y for a small size. The table shows the number of shirts sold in a day.

 large small blue shirt 5 3 yellow shirt 6 4

The total income from the sale of the blue shirt was \$84 and from the yellow shirt was \$104.

a) Write down an equation connecting A, B and C

b) Find A-1

c) Calculate A -1C

Solution:

a) AB = C

b) Determinant = (5 × 4) – (3 × 6) = 2

c)

d) The answers in part (c) are the answers for the matrix B.

So, cost of large size shirt (x) = \$12

cost of small size shirt (y) = \$8

Represent Data with Matrices N.VM.6
What is a Matrix?
How are Matrices useful?
How can I use them to represent data? Representing data with matrices

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