Menu
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. Display the resulting matrix.
Divide all elements in the adjugate matrix by determinant of matrix ��. The determinant of a diagonal matrix is the product of its diagonal elements. If they all are non-zero, then determinant is non-zero and the matrix is invertible. Inverse of an upper/lower triangular matrix is another upper/lower triangular matrix.
Inverse of Upper Triangular Matrix To be invertible a square matrix must has determinant not equal to 0. Since, determinant of a upper triangular matrix is product of diagonals if it is nonzero, then the matrix is invertible.
I'm trying to implement some basic linear algebra operations and one of these operations is the inversion of a triangular (upper and/or lower) matrix. Is there an easy and stable algorithm to do that?
Thank you.
If you love us? You can donate to us via Paypal or buy me a coffee so we can maintain and grow! Thank you!
Donate Us With