Lecture-7(matrix-flash)

# Lecture-7(matrix-flash) - Solving system of equations...

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Solving system of equations Lecture - 7

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Solving Scheme Write equation in matrix scheme - a coefficient matrix multiplying an unknown vector, equal to a right hand side vector Check if the coefficient matrix is invertible. How? Invert coefficient matrix Multiple both sides of the original equation by inverted coefficient matrix b x A = b A x A A = - - 1 1 I ' b x = , where b A b = - 1 '
Example Following system: Step 1: Writing equation in matrix form Vector of unknowns: Collecting coefficients multiplying the x’s into a coefficient matrix 7 7 2 10 4 21 7 3 4 3 2 1 3 1 3 2 1 = - + - = + = + - x x x x x x x x = 3 2 1 x x x x - - = 1 7 2 4 0 1 7 3 4 A

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Example (cont’d) Right hand side matrix Step 2: Check if matrix A is invertible 7 7 2 10 4 21 7 3 4 3 2 1 3 1 3 2 1 = - + - = + = + - x x x x x x x x = 3 2 1 x x x x -
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## This note was uploaded on 04/27/2008 for the course PGE 310f taught by Professor Srinivasan during the Spring '08 term at University of Texas.

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Lecture-7(matrix-flash) - Solving system of equations...

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