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 2x2 matrices and 3x3 matrices.
11a- Easy approach to permutation matrix-part 2.
In the Permutation matrix-part 2, we continue the discussion about the various types of Permutation matrices.
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11- Easy introduction to permutation matrix.
The post includes an introduction to the permutation matrix for both 2x2 and 3x3 matrices. How to change the arrangement...
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10-Solved problems for 3×3 matrix by Crout’s LU-option 1.
The post includes the illustration of two solved problems for 3x3 matrix by Crout's LU decomposition. Option 1 is used...
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9- Crout’s LU decomposition for a 3×3 matrix-Option 1.
How to drive Crout's LU decomposition for a 3x3 matrix? Step-by-step introduction to Crout's LU decomposition for a 3x3 matrix.
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8-Introduction to Crout’s LU decomposition for a 2×2 matrix.
How to drive Crout's LU decomposition for a 2x2 matrix? Step-by-step introduction to Crout's LU decomposition with a solved problem.
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7-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...
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6- Solved problem for x-y-z values by LU decomposition.
The solved problem for x-y-z values by using the LU decomposition. for three simultaneous equations. Step by step illustration is...
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5A- Second solved problem-LU decomposition-3×3 matrix.
The second solved problem-LU decomposition for the 3x3 matrices, how to get x,y,z values for three simultaneous equations?
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5- First solved problem-LU decomposition for the 3×3 matrix.
This post illustrates the first solved problem-LU decomposition for the 3x3 matrix. Step by step guide to solve 3 simultaneous...
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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-3x3 matrix? Matrix A is converted to U1 and...
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