Tri Diagonal Matrix Calculator Online

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Tri Diagonal Matrix Description

Explanation:

It is a square matrix where the Non-zero entries along the main diagonal and the Non-zero entries allowed along the diagonal above the main diagonal and the Non-zero entries allowed along the diagonal below the main diagonal and All the other entries are zero.

What is Tri Diagonal Matrix?

A square matrix called a tridiagonal has components that are all zero distances from the superdiagonal, subdiagonal, and main diagonal. In other terms, it is the banded matrix with equal upper and lower bandwidths. It has the shape. There are several unique characteristics of tridiagonal matrices, and numerous techniques can take use of this.

Tri Diagonal Matrix Example:

A =
   1    4    0    0
   3    4    1    0
   0    2    3    4
   0    0    1    2

Now in the above given matrix, the matrix is in tri diagonal form because it satisfy all the properties of tri diagonal.

Properties of Tri Diagonal Matrix:

  • Two symmetric matrices are combined and subtracted to get a symmetric matrix.
  • The product of matrix A and matrix B is symmetric if the two symmetric matrices A and B exhibit the commutative property, i.e., AB = BA.
  • An is symmetric if and only if matrix A is symmetric, where n is referred as an integer.
  • A-1 is symmetric if matrix A is symmetric.

How to use check Tri Diagonal Matrix Calculator?

  • Firstly, you need to enter the dimension of the matrix. Enter number of rows in "Rows" input field and Enter number of columns in "Columns" input field.
  • Then press the button "Set Matrix".
  • An empty matrix will appear below and then you can enter your values inside the matrix.
  • After entering all the values press "Solve" button, the result will automatically appear below which check whether the matrix is Tri Diagonal Matrix or not.

Tri Diagonal Matrix Example Image:

Tri Diagonal Matrix example

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