Upper Triangular Matrix Calculator Online

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Upper Triangular Matrix Calculator Description

Explanation:

The Upper Triangular Matrix is the matrix which must be a square matrix having all the entries or elements below the main diagonal are zero.

Properties of Upper Triangular Matrix

  • The outcome of adding two upper triangular matrices is an upper triangular matrix.
  • An upper triangular matrix is created by multiplying two upper triangles.
  • The upper triangular matrix's inverse retains upper triangular.
  • Lower triangular matrix is created by transposing the upper triangular matrix, UT = L.
  • An upper triangular matrix retains its upper triangular shape if any scalar number is multiplied by it.

Upper Triangular Matrix Example:

A =
   1    3    5    7
   0    9    8    3
   0    0    2    4
   0    0    0    2

Now in the above given matrix, the main diagonal elements are 1, 9, 2, 2 and the entries below the main diagonal are all zero which means the the matrix is Upper Triangular Matrix.

How to use check Upper Triangular 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 Upper Triangular Matrix or not.

Upper Triangular Matrix Example Image:

Upper Triangular Matrix example

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