Friday, July 9, 2010

Types of Matrices

Types of Matrices for Preparation for Matrices:

Some types are there to preparation of matrices,

Column matrix: A matrix is said to be column matrix if it has only one column.

Row matrix: A matrix is said to be row matrix, if it has only one row.

Square matrix: A matrix in which the quantity of rows are equal to the quantity of columns.

Diagonal matrix: Diagonal matrix is said to be scalar matrix while the diagonal elements are equal. Square matrix B = [bij] m × m is said to be a diagonal matrix if all its non diagonal elements are zero, that is a matrix B = [bij] m × m is said to be a diagonal matrix if bij = 0, when i ≠ j.

Scalar matrix: Diagonal matrix is said to be a scalar matrix if its diagonal elements are equal, that is, a square matrix B = [bij] n × n is said to be a scalar matrix if

bij = 0, when i ≠ j

bij = k, when i = j, for some invariable k.

Identity matrix: Square matrix in which elements in the diagonal are all 1 and remaining numbers are all zero is called an identity matrix. Ssquare matrix A = [aij] n × n is an

Identity matrix, if aij = 1 if i=j

aij =0 if I # j.

Zero matrix: A matrix is said to be zero matrix or null matrix if all its elements are zero.

About:

1) adjoint matrix

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