Tuesday, November 2, 2010

Matrices

What are matrices?
    A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular arrangement of entries are enclosed by bracket or by square bracket.

You can also check the link on matrices determinants and determinants of matrices.

There are different types of matrices -  Row Matrix, Column Matrix, Square Matrix, Diagonal Matrix, Scalar Matrix, Identity or Unit Matrix, Null Matrix or Zero Matrix

Operation on matrices:
Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a Matrix, Properties of Transpose, Symmetric Matrix, Skew-Symmetric Matrix, Properties of Symmetric and Skew Symmetric Matrices,

Application of matrices:Matrices are applied on Homogeneous Equations (Constant = 0), Non Homogenous Equations.

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