What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

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Transcript of What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

Page 1: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.
Page 2: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

What is a matrix ?What is a matrix ?

ELEMENTS ARRANGED IN ROWS ANDELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKETCOLUMNS AND CLOSED IN BRACKET

IS CALLED A MATRIX.IS CALLED A MATRIX.

Page 3: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

Example of MatrixExample of Matrix

[ ] [ ] The above is the matrix The above is the matrix

with 2X3 like-wise there can be any type with 2X3 like-wise there can be any type of Matrix with any combinationof Matrix with any combination

2 3 4

5 6 6

Page 4: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

mmx x nn MATRIXMATRIX

A matrix has A matrix has m m rowsrows and and n n

columnscolumns is is called an m called an m x x

n matrix.n matrix.

Page 5: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

ORDER OF THE MATRIXORDER OF THE MATRIX

4 5 64 5 6 IN THIS MATRIX THERE ARE 2 IN THIS MATRIX THERE ARE 2 ROWS , 3 COLUMNS, SO IT’SROWS , 3 COLUMNS, SO IT’S

7 8 97 8 9 CALLED AS 2x3 MATRIXCALLED AS 2x3 MATRIX

2 3 2 3 IN THIS MATRIX THERE ARE 3 ROWS IN THIS MATRIX THERE ARE 3 ROWS

2 COLUMNS, SO IT’S CALLED AS 3x2 2 COLUMNS, SO IT’S CALLED AS 3x2 MATRIXMATRIX

4 54 5

6 76 7

Page 6: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

ROWROW

MATRIXMATRIXElementsElements arrangedarranged inin

aa singlesingle rowrow isis calledcalled asas

rowrow matrixmatrix..

3 5 83 5 8

Page 7: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

COLUMN COLUMN MATRIXMATRIX

74

Page 8: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

NULLNULL MATRIXMATRIX• A MATRIX WHICH HAS A MATRIX WHICH HAS 0 S0 S AS AS

ELEMENTS IS CALLEDELEMENTS IS CALLED ASAS NULLMATRIX.NULLMATRIX.

0 00 0 0 00 0

Page 9: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

SQUARESQUARE MATRIXMATRIX

A matrix has equal rows and columns A matrix has equal rows and columns is called a square matrix.is called a square matrix.

3 1 9 This matrix has 3 rows3 1 9 This matrix has 3 rows

6 0 5 and 3 columns so it is 6 0 5 and 3 columns so it is

8 7 4 called as square matrix.8 7 4 called as square matrix.

Page 10: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

RECTANGULAR MATRIXRECTANGULAR MATRIX

A matrix having different rows and A matrix having different rows and columns in number is called columns in number is called rectangular matrix.rectangular matrix.

4 5 6

2 7 -72 X 3

Page 11: What is a matrix ? ELEMENTS ARRANGED IN ROWS AND COLUMNS AND CLOSED IN BRACKET IS CALLED A MATRIX.

TRANSPOSE OF AMATRIXTRANSPOSE OF AMATRIX

• Exchange the rows as columns, and Exchange the rows as columns, and columns as rows we get the transpose of a columns as rows we get the transpose of a

matrix.matrix.

2 5 7

4 6 9A =

2 4

5 6

7 9

AT

=


Unit 3: Matrices. Matrix: A rectangular arrangement of data into rows and columns, identified by capital letters. Matrix Dimensions: Number of rows, m,

Unit 3: Matrices. Matrix: A rectangular arrangement of data into rows and columns, identified by capital letters. Matrix Dimensions: Number of rows, m,

Implementation of 2Implementation of 2--D FFT on the Cell ... · Each sub matrix contains 2 rows of real and 2 rows of imaginary dataEach sub matrix contains 2 rows of real and 2

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GETAC F110 ACCESSORY SPEC BROCHURE...Bracket type matrix varies with tablet configurations. Please refer to the compatibility below to select the “Bracket with Rotating Hand Strap

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An m n matrix is an rectangular array of elements with m rows and n columns :

An m n matrix is an rectangular array of elements with m rows and n columns :

Basic Matrix Operations Matrix – a rectangular array of numbers, variables, and both Order (dimensions) – describes the number of rows and columns in a.

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Matrices –Part 1 · The dimensionsof the matrix are the number of rows and columns. This matrix has 2 rows and 4 columns, so its dimensions are 2x4. When finding the dimensions

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Matrix M contains images as rows. Consider an arbitrary factorization of M into A and B .

Matrix M contains images as rows. Consider an arbitrary factorization of M into A and B .

RANDOM SAMPLING FOR DISTRIBUTED CODED MATRIX …tandonr/conference-papers/ICASSP-2019-Rand… · Random sampling algorithms sample either the columns or rows from the original matrix

RANDOM SAMPLING FOR DISTRIBUTED CODED MATRIX …tandonr/conference-papers/ICASSP-2019-Rand… · Random sampling algorithms sample either the columns or rows from the original matrix

Some matrix stuff. A matrix is simply a way of organizing and manipulating information in a grid system consisting of rows and columns Kinds of Matrices.

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Training Manual - University of North ... · PDF file Training Manual ... Ability to specify column widths and layout for matrix ... Answer piping into matrix columns and rows

Training Manual - University of North ... · PDF file Training Manual ... Ability to specify column widths and layout for matrix ... Answer piping into matrix columns and rows

8. Matrix Algebraboydj/mathecon/math08.pdf8. Matrix Algebra 9/1/20 We start by defining matrices. Matrix. An m × n matrix is a rectangular array Aof mn elements arranged in m rows

8. Matrix Algebraboydj/mathecon/math08.pdf8. Matrix Algebra 9/1/20 We start by defining matrices. Matrix. An m × n matrix is a rectangular array Aof mn elements arranged in m rows

CROCHET CHEVRON BLANKET | CROCHET...Stripe Pat 4 rows A, 4 rows B, 6 rows C, 2 rows D, 2 rows C, 6 rows B, 4 rows A, 2 rows D. These 30 rows form Stripe Pat. BLANKET Note: Ch 3 at

CROCHET CHEVRON BLANKET | CROCHET...Stripe Pat 4 rows A, 4 rows B, 6 rows C, 2 rows D, 2 rows C, 6 rows B, 4 rows A, 2 rows D. These 30 rows form Stripe Pat. BLANKET Note: Ch 3 at

Linear Inverse Problems - Nc State University · Matrix Properties Matrix Properties: A= Square matrix has n rows and n columns if A is square then A−1 exists iff the determinant

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Systems of Equations Matrix Methods. Introductions What is a matrix? A matrix is an organization of data into rows and columns The size of a matrix is.

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Chapter 9. Linear algebra and analytic geometry · Matrix and linear system Analytic geometry Matrix De nition A matrix is a rectangular array (m rows and n columns) of numbers, arranged

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Multitask matrix completion for learning protein ...mkshirsa/papers/recomb2016_with_suppl.pdf · using a matrix M, where the rows correspond to pathogen proteins and columns correspond

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LECTURE 8: MAT - UCI SitesLECTURE 8: MATRIX ALGEBRA Saturday, October 12, 2019 3:10 PM Ex: (rows become columns, and columns become rows) Ex: => Symmetric matrix Definition: A is symmetric

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Matrix Multiplication : When the number of columns of the ...academic.uprm.edu/pcaceres/Courses/INME4011/MD-2C.pdf · matrix is the same as the number of rows in the second matrix

Matrix Multiplication : When the number of columns of the ...academic.uprm.edu/pcaceres/Courses/INME4011/MD-2C.pdf · matrix is the same as the number of rows in the second matrix

Unit 6 : Matrices. MATRIX: A rectangular arrangement of numbers in rows and columns. The ORDER of a matrix is the number of the rows and columns. The.

Unit 6 : Matrices. MATRIX: A rectangular arrangement of numbers in rows and columns. The ORDER of a matrix is the number of the rows and columns. The.

Matrix M contains images as rows. Consider an arbitrary factorization of M into A and B. Four interpretations of factorization: a)Rows of B as basis images.

Matrix M contains images as rows. Consider an arbitrary factorization of M into A and B. Four interpretations of factorization: a)Rows of B as basis images.