Algebra 2 Vectors

Question

 

1.     The matrices show the numbers of different types and sizes of sweaters that a clothing store has in stock.

                                                        Boys                                                         Girls 

                                   Small          Medium      Large                          Small       Medium    Large           

                Button  [        24                11               16 ]           Button. [   7            15                 26]

                Zipper  [        32                 8                14 ]           Zipper  [  32.            9                 21]

(a)   Add these matrices. Label the new matrix A. Describe what matrix A represents.

(b)   What does element a_12 represent?

(c)   If you add all the elements in the second row of matrix A, what would this number represent?

(d)   How many large sweaters does the store have in stock? Tell how you can use matrix A to determine the answer.

(e)   Write a matrix that represents how many more girls than boys button and zipper sweaters the store has in stock in each size.

Answer:

 

Answer 1

Step 1:

The matrices are

a)

Add two matrices, Find matrix A.

b)

Find element of

c)

Find the second row of the matrix A.

d)

Find how many large sweaters the store have in stock by using matrix A.

Add third row button and zipper types sweaters.

e)

Find the how many more girls than boy button and zipper sweater.

Solution: