shivangi matrices

8/2/2019 Shivangi Matrices

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SUBMITTED BY,

SHIVANGI RATHORE


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DEFINITIONSMatrix

Matrix is defined as a rectangular array of

numbers

A table of number or set of number

The numbers inside the matrix is calledelements or entries.


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TYPES OF MATRICES

1 . RECTANGULAR MATRIX

2. SQUARE MATRIX

3. ROW AND COLUMN MATRIX

4. DIAGONAL MATRIX

5. SCALAR MATRIX

6. UNIT MATRIX

7. ZERO MATRIX


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SIZE AND DIMENSION OF MATRIX

The size, or dimension, of the matrix is n x m, where, n is the number of rows of the matrix,

m is the number of column of the matrix.

For example, the following matrices are of dimensions 1x4,3x1, 2x3, and 4x2 respectively

A special kind of matrix is a square matrix ,

i.e. a matrix with the same number of rows and columns. If a square matrix has n rows and n columns, we say that the

matrix has order n.

The matrix is a square matrix of order 3.


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OPERATIONS IN MATRICES

Addition: Z = A + B; zij = aij + bij

Substraction: Z = A - B; zij = aij - bij

Multiplication: Z = A*B, if # columns in A = # rows inB; zij = ai1* b1j + ai2* b2j + ai3* b3j + ... aim* bnj


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Application of MatricesGraph theory

The adjacency matrix of a finite graph is a basic notion of graph

theory.

Linear combinations of quantum states in Physics

The first model of quantum mechanics by Heisenberg in 1925

represented the theory's operators by infinite-dimensionalmatrices acting on quantum states. This is also referred to as

matrix mechanics .

Computer graphics

44 transformation rotation matrices are commonly used incomputer graphics.

Solving linear equations

Using Row reduction

Cramer's Rule ( Determinants)

Using the inverse matrix


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CRYPTOGRAPHY

Cryptography, is concerned with keeping communications private.

Cryptography mainly consists of Encryption and Decryption

Encryption is the transformation of data into some unreadable form.

Its purpose is to ensure privacy by keeping the information hidden from

anyone for whom it is not intended, even those who can see the encrypteddata.

Decryption is the reverse of encryption

It is the transformation of encrypted data back into some intelligible form.

Encryption and Decryption require the use of some secret information, usually

referred to as a key.

Depending on the encryption mechanism used, the same key might be used

for both encryption and decryption, while for other mechanisms, the keys used

for encryption and decryption might be different.


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[MESSAGE] x [ENCRYPTION MATRIX] = [CODE]

[DECRYPTION MATRIX] x [CODE] = [MESSAGE]

Order of Encryption/Decryption Matrix must match

the length of message chunks and code (message chunk

length = number of entries in any column or row.

The encryption matrix MUST be invertible, otherwise

you cannot decode the message you encoded


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TIME MANAGEMENT MATRIX: THE 4

QUADRANTS

Our daily activities can be broken down into 4 quadrants,by urgency and importance:


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OTHER APPLICATIONS OF

MATRICES ECONOMICS: Checking out the production level of firm keeping

various factors in concern. VIDEO SCREEN

DIGITAL PHOTOGRAPHY

MARKETING :marketing strategy involves connectivity. Seeingand understanding the complex relationships between lawyersand clients, between value and client loyalty, between supply

and demand, between recurrent and non-recurrent client needsfor services, between referral sources and end-consumers

BUSINESS ORGANIZATIONS: TOWS AND SWOT.


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THANK YOU

shivangi matrices

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