Question

70 POINTS FOR CORRECT ANSWER.

Use the following matrices to answer the questions below. Make sure you write in complete sentences, and use correct grammar and punctuation.


1. What does element LaTeX: B_{2,1}B 2 , 1 represent?

2. What does element LaTeX: A_{_{3,2}}A 3 , 2 represent?

3. How many vehicles did Sydney sell?

4. Who had the highest bonus? How do you know this? (Hint: Find AB).

Answer 1

1) It is a code for a formula.

2) Same thing as number 1

3) 17 total vehicles

4) Sydney had the highest bouns

Explanation:

4)

Justin

Cars: 140 x 7 = 980

Trucks: 130 x 2 = 260

Vans: 180 x 6 = 1,080

Bonus: 980 + 260 + 1080 = 2320

Sydney

Cars: 140 x 5 = 700

Trucks: 130 x 8 = 1040

Vans: 180 x 4 = 720

Bonus: 700 + 1040 + 720 = 2460

Timothy

Cars: 140 x 10 = 1400

Trucks: 130 x 0 = 0

Vans: 180 x 2 = 360

Bonus: 1400 + 360 = 1760

Answer 2

Explanation:

1.
`B_(2, \: 1)` means element present at the intersection of second row and first column, which is $130.

`\therefore B_(2, \: 1) = $ 130`

2.
`A_(3, \: 2)` means element present at the intersection of third row and second column, which is 0.

`\therefore A_(3, \: 2) = 0`

3.

Number of vehicles sold by Sydney = 5 + 8 + 4= 17

4.

Bonus of Justin

= 7*140 + 2*130 + 6*180

= 980 + 260 +1080

= $2320

Bonus of Sydney

= 5*140 + 8*130 + 4*180

= 700 + 1040 + 720

= $2460

Bonus of Timothy

= 10*140 + 0*130 + 2*180

= 1400 + 0 + 360

= $1760

Hence, Sydney had highest bonus.