Observe the table,
\The drink menu from a fast-food restaurant is shown at the right.
\a. Write a matrix for
to represent the current prices.
The matrix
is
.
b.
\What scalar can be used to determine a matrix
represent the new prices.
The store owner has decided that all of the prices must be increased by
.
.
A matrix
represent the new prices are multiply by the scalar is
.
c. Find
.
(Find for
)
(Substitute
matrix)
(Distributive the scalar:
)
(Simplify)
.
d. Find
.


This matrix represents the price increases for each item.
\a. Matrix
is
.
b. A matrix
represent the new prices are multiply by the scalar is
.
c.
.
d.
.