10-Solved problems for 3×3 matrix by Crout’s LU-option 1.
Two solved problems for 3×3 matrix by Crout’s LU decomposition. Option 1 is used for which the matrix is converted to a lower matrix.
Solution of linear systems
How to use the different techniques to solve linear systems? A discussion of Lower upper factorization is presented with full detailed solved problems for 2×2 matrices and 3×3 matrices.
9A- A Second option for Crout’s LU decomposition-3×3 matrix
A Second option for Crout’s LU decomposition-3×3 matrix. How to covert the A matrix to an upper matrix? How to get the values of L and U matrices?
9- Crout’s LU decomposition for a 3×3 matrix-Option 1
How to drive Crout’s LU decomposition for a 3×3 matrix-option-1? Step-by-step introduction to Crout’s LU decomposition for a 3×3 matrix.
8-Introduction to Crout’s LU decomposition for a 2×2 matrix.
How to drive Crout’s LU decomposition for a 2×2 matrix? Step-by-step introduction to Crout’s LU decomposition with a solved problem.
7-A Solved problem 9-5 LU decomposition.
Solved problem 9-5 LU decomposition from reference book Numerical methods for engineers. We will verify our solution with the author’s solution.
5c- Easy approach to permutation matrix-part 2.
In the Permutation matrix-part 2, we continue the discussion about the various types of Permutation matrices.
5b- Easy introduction to permutation matrix.
The post includes an introduction to the permutation matrix for both 2×2 and 3×3 matrices. How to change the arrangement of rows and columns for matrices?
5A- Second solved problem-LU decomposition-3×3 matrix.
The second solved problem-LU decomposition for the 3×3 matrices, how to get x,y,z values for three simultaneous equations?
5- First solved problem-LU decomposition for the 3×3 matrix
This post illustrates the first solved problem-LU decomposition for the 3×3 matrix. Step by step guide to solve 3 simultaneous equations by the LU method?
4-Derive the expression for L-U values for-3×3 matrix.
Step-by-step guide on how to derive the expression for L-U values for-3×3 matrix using Doolittle’s method?
3-How to solve for x-y by L-U Decomposition?
How to solve for x-y by L-U Decomposition? Illustration by Gauss elimination for L and U matrices.
2- Easy illustration for LU decomposition for 2×2 matrix.
How to use the Lu decomposition method for a 2×2 matrix? A step-by-step guide to find L and U values?
1- Easy introduction to the Inverse of a Matrix-2×2 matrix.
How to get the inverse of a matrix by creating an identity matrix. A solved example is given for the inverse of a 2×2 matrix.