Symmetric Matrix Calculator Online


Symmetric Matrix Description


The matrix for example, there is a matrix A so when we are taking transpose of this matrix A it is equal to the orignal matrix
AT = A

What is Symmetric Matrix?

Knowing how to find a matrix's transposition is crucial for determining if it is symmetric. An nxm matrix is created by swapping the rows and columns of a mxn matrix, and the new matrix is known as the transpose of the original matrix. If a particular matrix has m rows and n columns, one of the following two alternatives exists:

  • If m = n, then the matrix is square
  • If m ≠ n, then the matrix is rectangular
  • Properties of Symmetric 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 Symmetric 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 Symmetric Matrix or not.

    Symmetric Matrix Example Image:

    Symmetric Matrix example


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