Question

(100 points)The matrices show the number of different types of new and pre-owned vehicles that were sold at two different dealerships. Which matrix shows how many different types of new and pre-owned vehicles were sold at both dealerships?

Answer 1

To find the matrix that shows how many different types of new and pre-owned vehicles were sold at both dealerships, multiply the corresponding elements of the two matrices together.

Step-by-step explanation:

The matrix that shows how many different types of new and pre-owned vehicles were sold at both dealerships can be found by multiplying the corresponding elements of the two matrices together. This is known as matrix multiplication.

Let's say the first matrix represents the types of vehicles sold at dealership A and the second matrix represents the types of vehicles sold at dealership B. To find the matrix that shows how many different types of vehicles were sold at both dealerships, multiply the corresponding elements of the two matrices together.

For example, if matrix A is:

[2 3 4]
[1 2 3]

and matrix B is:

[5 6 7]
[3 4 5]

Then the matrix that shows how many different types of vehicles were sold at both dealerships (matrix C) would be:

[2*5 3*6 4*7]
[1*3 2*4 3*5]

Simplifying:

[10 18 28]
[3 8 15]

So the matrix that shows how many different types of vehicles were sold at both dealerships is:

[10 18 28]
[3 8 15]