Matrix Math Presentatin

7/23/2019 Matrix Math Presentatin

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Welcome

ToOur Presentation



Prepare forMR. KAZI NASIR UDDIN

Course InstructorBusiness MathematicsDepartment of Accounting and

information systems

Faculty of Business Studies Jagannath University



Prepare BySadhan ay

oll ! "#$%$"""&

Parama Prity 'undu

oll! "#$%$""%$



(ools of Business

mathematics



Real Number System

Number System:

Any system of naming or representing)"*%*#*+*,*-.//0 num1ers as thedecimal system or the 1inary systemis called num1er system/



Real ( R )Real ( R )

IntegersIntegers

Complex (C)Complex (C)

IrratonalIrratonalRatonalRatonal

Imagnary (I)Imagnary (I)

Non!Non!

negat"enegat"e

#ra$tons#ra$tons

Negat"eNegat"e

ZeroZero%ost"e%ost"e

%rme%rmeNaturalNatural



MA&RI' Alebra



MA&RI' Alebra

Suare matrxDagonal Matrx!

Unt MatrxZero or Null MatrxSub MatrxS$alar MatrxRo* MatrxColumn MatrxUpper &rangular Matrx+o*er &rangular MatrxSymmetr$ MatrxS,e*!symmetr$ Matrx&ranspose o- a MatrxComplex Conugate o- a Matrx

&/%0S 1# MA&RI' :



Matrix

Multiplication



Matrix Multiplication

3 5

-2 1

4 9

X5 2

3 4



Let’s Begin……….



Row 1 X olu!n 1

3 5

-2 1

4 9

X5 2

3 4

3 x 5 + 5 x 3 = 30



Row 1 X olu!n 1

3 5

-2 1

4 9

X5 2

3 4

"3#



Row 1 X olu!n 2

3 5

-2 1

4 9

X5 2

3 4

3 x 2 + 5 x 4 = 26



Row 1 X olu!n 2

3 5

-2 1

4 9

X5 2

3 4

"3# 2$



Row 2 X olu!n 1

3 5

-2 1

4 9

X5 2

3 4

-2 x 5 + 1 x 3 = -7



Row 2 X olu!n 1

3 5

-2 1

4 9

X5 2

3 4

"30 26

-7



Row 2 X olu!n 2

3 5

-2 1

4 9

X5 2

3 4

-2 x 2 + 1 x 4 = 0



Row 2 X olu!n 2

3 5

-2 1

4 9

X5 2

3 4

"30 26

-7 0



Row 3 X olu!n 1

3 5

-2 1

4 9

X5 2

3 4

4 x 5 + 9 x 3 = 47



Row 3 X olu!n 1

3 5

-2 1

4 9

X5 2

3 4

"30 26

-7 0

47



Row 3 X olu!n 2

3 5

-2 1

4 9

X5 2

3 4

4 x 2 + 9 x 4 = 44



Row 3 X olu!n 2

3 5

-2 1

4 9

X5 2

3 4

"30 26

-7 0

47 44



Matri3 used in Business

applicationA*B C has s +4$*s 5-$ and s5"$ respectively they utili6e theamount to purchase # types of shares of price 3 *y and 6respectively/ A purchase t7o share of price 3 * , of price y # of price6 /B purchases four share of price 3 * # of price y and - of price 6 *c

purchases one share of price 3 four of y and ten of price 6 / Find the3 *y* 6 8

Solution!



-un$ton

De2nton: (he relationship 1et7een t7o real varia1les say 3 and y 7hich are so

related that corresponding to every value a of 3 de9ned as the domain *7e get a 9nite value 1 of y de9ned as the range then y is said to 1e thefunction of 3/

y=f(x)



-un$ton

&ypes o- -un$ton :"/:ne valued function

%/;3plicit Functio<

#/Alge1raic and (ranscendental Function

+/ational and Irrational Functions,/Monotone function-/;ven and odd function5/Continuous and discontinuous function



Function

The limit of a function :

3 approaches # from right hand side of the num1er line* f=3> decreases

and 1ecomes close to -

+x 3

i.e. lim f(x) = 6→

Contnuty o- a -un$ton :A function f=3> is said to 1e continuous at 3?a* if corresponding to anyar1itrarily assigned positive num1er* ho7ever small there e3ists a positivenum1er/ assigned positive num1er* ho7ever small there e3ists a positivenum1er/



C11RDINA&0 301M0&R/

Coordinate @eometry is that 1ranch of geometry in7hich t7o real num1ers called coordinate* are used

to indicate the position of a point in a place/ (he t7o directed lines* 7hen they intersect at right

angles at the point of origin* divide their plane intofour parts namely :* :* : and :/

A directed line can 1e hori6ontal n$rmally indicated1y : a3is and vertical indicated normally 1y :a3is/



C11RDINA&0 301M0&R/



C11RDINA&0



C11RDINA&0

Area :f a (riangle !

formula!

−−+− )

21(

3)

13(

2)

32(

121

y y x y y x y y x

Matrix Math Presentatin

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