matrix

matrix

1. A matrix is a rectangular array of numbers arranged in rows and columns.

   • Types of matrices
     • square matriz
       • A square matrix has the same number of rows as columns. In computer graphics, square matrices are used for transformations.
     • diagonal matrix
       • A diagonal matrix matrix is a special kind of symmetric matrix. It is a symmetric matrix with zeros in the off-diagonal elements. Two diagonal matrices are shown below.
     • identity matrix
       • the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere. It is denoted by In, or simply by I if the size is immaterial or can be trivially determined by the context.
     • null matrix
       • A null matrix is basically a matrix, whose all elements are zero.
     • transposed matrix
       • The new matrix obtained by interchanging the rows and columns of the original matrix is called as the transpose of the matrix. If A = [aij] be an m × n matrix, then the matrix obtained by interchanging the rows and columns of A would be the transpose of A. of It is denotedbyA′or (AT). In other words, if A = [aij]mxn ,thenA′ = [aji]nxm .
   • operations
     • Matrix addition is the operation of adding two or matrices by adding the corresponding entry of each matrix together.
     • multiplication of matrices
     • division of matrices

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