Join Whatsapp Channel for Ignou latest updates JOIN NOW

What is a matrix? Explain different types of matrices with examples.

Hey! As you know, a matrix is an array or collection of numbers arranged in rows and columns. Each element in the matrix is identified by its position in the matrix. Matrices are used to solve linear equations.

There are mainly six types of matrices:

  • Row Matrix
  • Column Matrix
  • Square Matrix
  • Diagonal Matrix
  • Identity Matrix
  • Zero Matrix

1. Row Matrix

row matrix is a collection of one row and more than one column.

Example:

2. Column Matrix

Column matrix is a collection of one column and more than one row.

Example:

3. Square Matrix

Square is the matrix in which the number of rows and the number of columns are equal.m x n matrix is said to be square if m=n.

Example:

4. Diagonal Matrix

A square matrix is said to be a diagonal matrix if all its non-diagonal elements are zero; otherwise, it is not a diagonal matrix.

Example:

5. Identity Matrix

The identity matrix is a diagonal matrix with all diagonal elements are 1 and all non-diagonal elements are zero.

Example:

6. Zero Matrix

A matrix is said to be a zero matrix if all its elements are zero.

Example:

I think you get a clear view of the Matrix and its types, comment below for any other questions.

Can we say that a zero matrix is invertible?

No, the zero matrix is not invertible.

error: Content is protected !!