Let a=
1 3 2
3 1 2
4 3 2
and b =
2 1 3
2 2 1
1 3 1
represent the bus routes of two companies between three cities.
a. let c = a+ b. find matrix c. explain what the resulting matrix and entry c1,3 mean in this context.
b. let d = b + a. find matrix d. explain what the resulting matrix and entry ,3 mean in this context.
c. what is the relationship between matrices c and d? why do you think that is?

Answer

given,

A =

B =

a) C = A + B

   C =

   C =

   C =

the resulting matrix represent the cities and the route in a single matrix of both the company together.

C₁ ₃ = means city 1 have routes

so, C₁ ₃ = 5

b) D = B + A

   D =

   D =  

   D =

D₁ ₃ = means the value of the element on the first row and third column

so, D₁ ₃ = 5  

c) both the matrix represent same value

we can say that matrix addition follows commutative law

A + B = B + C

dont think so

step-by-step explanation:

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies