Презентация, доклад на тему Matrix

PLAN:1. Concept and types of matrices2. Тhe rows, columns, elements,     аnd the size of the matrix3. Оperations on matrices

Слайд 1"Matrices and operations on them"


Слайд 2PLAN:
1. Concept and types of matrices
2. Тhe rows, columns, elements,
     аnd

the size of the matrix
3. Оperations on matrices
PLAN:1. Concept and types of matrices2. Тhe rows, columns, elements,     аnd the size of the matrix3. Оperations

Слайд 3Concept and types matrix

Concept and types matrix

Слайд 4 DEFINITIONS
Matrix is a rectangular or square tables filled with numbers. Numbers,

fills the matrix called matrix elements.
DEFINITIONS Matrix is a rectangular or square tables filled with numbers. Numbers, fills the matrix

Слайд 5TYPES OF MATRIX




Rectangular
matrix
Column
matrix
Square
matrix
Row
matrix

TYPES OF MATRIXRectangular matrixColumn matrixSquare matrixRowmatrix

Слайд 6Rows, columns, elements, and size of the matrix

Rows, columns, elements, and size of the matrix

Слайд 7Priciple Numbering . Rows and columns
String are numbered from top
down singe

number 1.

Left columns are numbered
right starting with number 1.
Priciple Numbering . Rows and columnsString are numbered from topdown singe number 1.Left columns are numberedright starting

Слайд 8Row and column
3rd row
3rd
Co-
lumn

Row and column3rd row3rd Co-lumn

Слайд 9Size of the matrix
A matrix having m rows and n
Columns is

called a matrix
Size m by n.

Matrix of size 3 for 2
(column 3, line 2)

Size of the matrixA matrix having m rows and nColumns is called a matrixSize m by n.Matrix

Слайд 10Outfit matrix of size m by n

Outfit matrix of size m by n

Слайд 11Element of the matrix
 

Element of the matrix 

Слайд 12Diagonal square matrix


The main diagonal
Secondary diagonal

Diagonal square matrixThe main diagonalSecondary diagonal

Слайд 13Triangular matrix


An upper triangular matrix (below the main diagonal are zeros)
Lower

triangular matrix (above the main diagonal are zeros)
Triangular matrixAn upper triangular matrix (below the main diagonal are zeros)Lower triangular matrix (above the main diagonal

Слайд 14Matrix operations

Matrix operations

Слайд 15Any matrix can be multiplied by the number


Any matrix can be multiplied by the number

Слайд 16Matrices of the same size can be аdd and subtract



Matrices of the same size can be аdd and subtract

Слайд 17Matrix transposition


The initial matrix
3 for 2
Transpose matrix
2 for 3

Matrix transpositionThe initial matrix 3 for 2Transpose matrix2 for 3

Слайд 18Multiplication line to column (Scalar product)

Multiplication line to column (Scalar product)

Слайд 19Multiplication matrix for each column rows of the matrix scalar product

of a column


Multiplication matrix for each column rows of the matrix scalar product of a column

Слайд 20Opportunity matrix-matrix multiplication
The matrix A, written left, can be multiplied by

matrix B, recorded right, then and only then, when the number of columns of A equals the number of rows of the matrix B
Opportunity matrix-matrix multiplication	The matrix A, written left, can be multiplied by matrix B, recorded right, then and

Слайд 21Multiplication rule matrix-matrix e ach row of the matrix of scalar

multiplies left to right every column matrix


C=A*B
A-left matrix
B-right matrix

Multiplication rule matrix-matrix e ach row of the matrix of scalar multiplies left to right every column

Слайд 22Example of matrix multiplication

Example of matrix multiplication

Слайд 23MULTIPLICATION COLUMN ON LINE

MULTIPLICATION COLUMN ON LINE

Слайд 24Important types square matrix


Identity
matrix (size 3 x 3)
Zero
matrix (size

3 by 3)
Important types square matrixIdentity matrix (size 3 x 3)Zero matrix (size 3 by 3)

Слайд 25Property identity matrix: A • E = E • A =

A



Property identity matrix:  A • E = E • A = A

Слайд 26THANK YOU FOR YOUR ATTENTION!

THANK YOU FOR YOUR ATTENTION!

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