How do you print a upper triangular matrix in python?

How do you print a upper triangular matrix in python?

Display the upper triangular matrix in Python

1. Compare the row index and column index.
2. If row index is less than or equal to column index print the value at that position.
3. If not then print 0.

What is meant by upper triangular matrix?

In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero.

How do you turn a matrix into a lower triangular matrix?

If rows = cols, traverse the array a using two loops where outer loop represents the rows, and inner loop represents the columns of the array a. To convert given matrix to lower triangular matrix, set the elements of the array to 0 where (j > i) that is, the column number is greater than row number.

What is upper and lower triangular matrix?

A triangular matrix is a special type of square matrix where all the values above or below the diagonal are zero. L is called a lower triangular matrix and U is called an upper triangular matrix. Matrix equations of above form can be easily solved using backward substitution or forward substitution.

Is an upper triangular matrix if?

What happens if you multiply two upper triangular matrices?

If we multiply two upper triangular, it will result in an upper triangular matrix itself. The inverse of the upper triangular matrix remains upper triangular.

What is the transpose of an upper triangular matrix?

If we add two upper triangular matrices, it will result in an upper triangular matrix itself. If we multiply two upper triangular, it will result in an upper triangular matrix itself. The inverse of the upper triangular matrix remains upper triangular. The transpose of the upper triangular matrix is a lower triangular matrix, U T = L.

How to melt a triangular matrix in Python?

Also buildin on solution by @jezrael, here’s a version adding a function to do the inverse operation (from xy to matrix), usefull in my case to work with covariance / correlation matrices. Thanks for contributing an answer to Stack Overflow!