Concept explainers
To find: The total amount of money Martin spent at the grocery store by using matrix multiplication.
Answer to Problem 18SGR
The total amount of money Martin spent at the grocery store is
Explanation of Solution
Given:
The given matrix that shows the price of each item is:
Here,
The price of 1 gallon milk is
The price of 1 apple is
The price of 1 frozen dinner is
The price of 1 box of cereal is
In order to find the total amount of money Martin spent at the grocery store by using matrix multiplication, first, represent the number of items bought by Martin in column matrix form.
The column matrix of the number of item bought is given as:
As, the matrix
So the product of the matrices
The total amount of money Martin spent at the grocery store by using matrix multiplication is calculated as:
Therefore, the total amount of money Martin spent at the grocery store is
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