final ppt-matrices & its applications_presentation

8/12/2019 Final PPT-Matrices & Its Applications_presentation

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Matrices &Its Applications

Clarissa Dsouza

Dadasaheb Khade

Jaydeep Tahashildar

Merwyn Sequeira


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What are Matrices:

In mathematics, a matrix(pluralmatrices) is a rectangular array of

numbers, symbols, or expressions,

arranged in rows and columns.

The individual items in a matrix are called

its elementsor entries.


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Application of Matrices

In physics related applications,matrices are applied in the study ofelectrical circuits, quantum mechanics

and optics.

One of the most important usages ofmatrices in computer side applications

are encryption of message codes.

In geology, matrices are used for

taking seismic surveys.


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Application of Matrices

Matrices are used in representing the real worlddatas like the traits of peoples population, habits,

etc.

Matrices are used in calculating the gross domesticproducts in economics which eventually helps in

calculating the goods production efficiently.

In robotics and automation, matrices are the baseelements for the robot movements. The

movements of the robots are programmed with the

calculation of matrices rows and columns.The

inputs for controlling robots are given based on thecalculations from matrices.


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Problem

A supplier supplies coffee beans to the belowshops A, B and C in bags of;

- 5kg at cost price of 10.60



5 Kg at 10.60

per bag.

10 Kg at 17.20

per bag.

15 Kg at 22.50

per bag.

Shop A 50 Bags 100 Bags 30 Bags

Shop B 60 Bags 150 Bags 40 Bags

Shop C 80 Bags 200 Bags 70 Bags


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50 100 80

60 150 4080 200 70

10.60

17.2

0

22.5

050 x 10.60 + 100 x 17.20 + 80 x22.50

60 x 10.60 + 150 x 17.20 + 40 x

22.50

80 x 10.60 + 200 x 17.20 + 70 x

22.50

4050

4136

5899

Ans: The total cost price of beans delivered to each shop

is 4050.0, 4136.0, 5899.0


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Q) In Jan 2014, Shop A, B and C received

15, 10 and 5 such deliveries respectively.

Find the total number of 5kg,10Kg and 15 kgbags delivered in Jan 2014?

15 10 550 100

8060 150

40

80 20070

X =Y =

1 x 3 3 x 3

15 x 50 + 10 x 60 + 5 x 80

15 x 100 + 10 x 150 + 5 x 200

15 x 80 + 10 x 40 + 5 x 70


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Ans: The total number of 5kg, 10kg and 15kg

bags delivered in Jan 2014 is 1750 bags, 4000

bags and 1950 bags.

17504000

1950


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final ppt-matrices & its applications_presentation

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