Allied mathematics

🇲 🇦 🇹 🇷 🇮 🇽 : 

Matrix is an arrangement of Elements (Number) in row and columns. The numbers are 

enclosed by parentheses or brackets or double bars.

Example:

A=(

1 5 9

3 7 6

5 14 19

) 

B=[

0 15

−3 32

7 41

]

C=‖

13 16

23 50‖

                             Properties of Matrix

                             Addition of Matrices:

(i) Commutative

If A and B are Matrices of the same order. A+B=B+A

(ii) Associative

If A, B and C are Matrices of the same order. (A+B)+C=A+(B+C)

(iii) Distributive with respect to scalar:

K(A+B)=KA+KB

(iv) Existence of inverse:

-A is the additive inverse of A

A+(-A)=0=(-A)+A

(v) Cancellation law:

If A, B and C are Matrices of the same order, A+C=B+C implies A=B.

                                 ADDITION OF MATRICES

Definition [Addition Matrices]

If A=(𝑎𝑖𝑗)

𝑀𝑋𝑁

and B=(𝑏𝑖𝑗)

𝑀𝑋𝑁

their sum, A+B=(𝑎𝑖𝑗 + 𝑏𝑖𝑗)

𝑀𝑋𝑁

Two Matrices of the same order are said to be conformable for addition.

  

𝗘𝗫𝗔𝗠𝗣𝗟𝗘:1

      

            

𝗘𝗫𝗔𝗠𝗣𝗟𝗘:2 

.   

                          

                               

    𝙉𝘼𝙈𝙀:𝘽𝘼𝙇𝘼𝙈𝙐𝙍𝙐𝙂𝘼𝙉.𝙂

𝙍𝙚𝙜𝙞𝙨𝙩𝙤𝙧 𝙣𝙤:23𝙐𝘾𝙈002

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𝙎𝙚𝙢𝙚𝙨𝙩𝙚𝙧:2𝙣𝙙

𝙎𝙪𝙗𝙟𝙚𝙘𝙩 :𝘼𝙇𝙇𝙄𝙀𝘿 𝙈𝘼𝙏𝙃𝙀𝙈𝘼𝙏𝙄𝘾𝙎

𝘿𝘼𝙏𝙀:13/12/2023.