In this video explaining definition and types of the matrices. Very useful this video. This video helps all types of students category.
A matrix is a rectangular array of numbers symbols or expressions arranged in rows and columns. Matrices can be used to represent a wide variety of mathematical objects and operations such as linear transformations systems of linear equations and so on.
There are several types of matrices
Row matrix: A matrix with only one row is called a row matrix.
Column matrix: A matrix with only one column is called a column matrix.
Square matrix: A matrix is called a square matrix if it has the same number of rows and columns.
Diagonal matrix: A square matrix in which all the elements outside the main diagonal are zero is called a diagonal matrix.
Identity matrix: A square matrix with all diagonal elements equal to 1 and all other elements equal to 0 is called an identity matrix.
Scalar matrix: A diagonal matrix with all diagonal elements equal to the same scalar is called a scalar matrix.
Upper triangular matrix: A square matrix in which all elements below the main diagonal are zero is called an upper triangular matrix.
Lower triangular matrix: A square matrix in which all elements above the main diagonal are zero is called a lower triangular matrix.
Symmetric matrix: A square matrix in which the transpose of the matrix is equal to the matrix itself is called a symmetric matrix.
Skew-symmetric matrix: A square matrix in which the transpose of the matrix is equal to the negation of the matrix itself is called a skew-symmetric matrix.
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