Solve the given set of equations by applying L-U decomposition method. The upper triangular matrix U should include 1's on its diagonal. $x_1 - 1.2x_2 + 2.2x_3 = 3.44$ $1.5x_1 + 0.6x_2 - 3.9x_3 = -4.92$ $-1.4x_1 + 3.28x_2 - 5.88x_3 = -7.536$
Added by Jesus D.
Close
Your feedback will help us improve your experience
Adi S and 88 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Consider the system of linear equations: 3c1 + 2c2 + c3 = 7 6c1 + 2c2 + 3c3 = 10 9c1 + 6c2 + 2c3 = 1 a) Express the system of linear equations in matrix form: b) Express the coefficient matrix of the above system as a product of an upper (U) and lower (L) triangular matrices. Hence, solve the system using the method of L-U decomposition:
Adi S.
5- Solve the following equations with Gaussian elimination method (In this example make the coefficient matrix diagonal and not triangular) -x1 +x2 +x3 = 2 3x1 -x2 + x3 = 6 -x1 +3x2 +4x3 = 4 3x1 +2x2 +x3 = 2 2x1 +x2 +x3 = 6 6x1 +2x2 +4x3 = 4
Madhur L.
Find an $L U$ -decomposition of the coefficient matrix, and then use the method of Example 1 to solve the system. $$\left[\begin{array}{rr}-5 & -10 \\6 & 5\end{array}\right]\left[\begin{array}{l}x_{1} \\x_{2} \end{array}\right]=\left[\begin{array}{r}-10 \\19\end{array}\right]$$
Numerical Methods
LU-Decompositions
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD