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

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Example of Matrix [ ] T The above is the matrix with 2X3 like-wise there can be any type of Matrix with any combination 2 3 4 5 6 6

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mx mx nMATRIX A matrix has m rows and n columns is called an m x n matrix.

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ORDER OF THE MATRIX 4 5 6 IN THIS MATRIX THERE ARE 2 ROWS, 3 COLUMNS, SO ITS 7 8 9CALLED AS 2x3 MATRIX 2 3IN THIS MATRIX THERE ARE 3 ROWS 2 COLUMNS, SO ITS CALLED AS 3x2 MATRIX 4 5 6 7

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ROW MATRIX Elements arranged in a single row is called as row matrix. 3 5 8 3 5 8

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COLUMN MATRIX 7474

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NULL MATRIX A MATRIX WHICH HAS 0 S AS ELEMENTS IS CALLED AS NULLMATRIX. A MATRIX WHICH HAS 0 S AS ELEMENTS IS CALLED AS NULLMATRIX. 0 0 0 0

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SQUARE MATRIX A matrix has equal rows and columns is called a square matrix. 3 1 9 This matrix has 3 rows 6 0 5 and 3 columns so it is 8 7 4 called as square matrix.

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RECTANGULAR MATRIX A matrix having different rows and columns in number is called rectangular matrix. 4 5 6 2 7 -7 2 X 3

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TRANSPOSE OF AMATRIX Exchange the rows as columns, and columns as rows we get the transpose of a matrix. Exchange the rows as columns, and columns as rows we get the transpose of a matrix. 2 5 7 4 6 9 A = 24 56 7 9 A T =

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4.1 Introduction to Matrices

4.1 Introduction to Matrices

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