 CBSE Class 12th Matrices- Various Types of Matrices

In this video we will learn about the topics Matrices, Various types of Matrices ,Representation of Matrices and Order of Matrices.

In this video we will learn about the topics Matrices, Various types of Matrices ,Representation of Matrices and Order of Matrices

A set of mn numbers (real or imaginary) arranged in the form of rectangular array of m rows and n columns is called an m x n matrix.

Let’s have a look on the example given below: In the above example, there are 3 rows and 2 columns. So, m =3,  n= 2 and we can call it as 3 x 2 matrix

Summary:

• A set of mn numbers (real or imaginary) arranged in the form of rectangular array of m rows and n columns is called an m x n matrix.
• [aij] m × 1 is a column matrix.
• [aij] 1 × n is a column matrix
• In a matrix, A = [aij] m × n , where m represents the number of rows and n represents the number of columns.
• m x n is called the order of matrix
• if m≠ n, then the matrix is called as a rectangular matrix
• if m = n, then the matrix is called as a square matrix
• Identity matrix or unit matrix of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere. • A square matrix is called upper triangular if all the entries above the main diagonal are zero
• A square matrix is called lower triangular if all the entries below the main diagonal are zero • Zero or Null matrix : It can be a rectangular matrix or a square matrix
• All the elements of a null matrix are zero

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