Find the inverse for [A] for the following equation using LU Decomposition 8x1 + 4x2 -x3...

Find the inverse for [A] for the following equation using LU Decomposition

8x1 + 4x2 -x3 = 11

-2x1 + 5x2 + x3 = 4

2x1 - x2 + 6x3 = 7

Expert Solution

Since there are many matrix equations, I preferred handwritten answer. Hope it is clear for you and it really helped you. Thank you.

Ally Wells answered 11 months ago

Find [A]^-1 for the following equation using LU Decomposition and {x}. 3x1 - 2x2 + x3...

Find [A]^-1 for the following equation using LU Decomposition and {x}. 3x1 - 2x2 + x3 = -10 2x1 + 6x2 - 4x3 = 44 -x1 - 2x2 + 5x3 = -26

Q: (LU decomposition) Find the LU decomposition of A = [-3 2 5 1; 12 -4...

Q: (LU decomposition) Find the LU decomposition of A = [-3 2 5 1; 12 -4 -20 -2; -6 0 15 1; -9 6 35 4]. You can use the compact method which works within a single matrix or you can build L and U separately. State L and U explicitly, and verify (in Matlab) that A = L*U. Hint: Matlab's built-in lu function isn't useful, since it pivots.

LU Decomposition Method?

7 2 -3 x1 -12 2 5 -3 x2 = -20 1 5 -6 x3 -26 LU Decomposition Method?

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Consider the following functions. g(x) =x3 − 10x h(x)=4x2 + 3x f(x)=(x3 − 10x)(4x2 + 3x) Find the derivative of each function. g '(x)= h '(x)= f '(x)=

Solve the following set of equations with LU factorization with pivoting: 3x1 -2x2 + x3 =...

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4. (Applying LU and LUP decompositions) In this problem, we'll use the LU/LUP decomposition to solve...

4. (Applying LU and LUP decompositions) In this problem, we'll use the LU/LUP decomposition to solve a linear system of equations. a) For A = [12 -8 13 -1 13;14 11 -5 -5 -7;1 -8 -9 10 8;-11 10 -8 3 8;-11 -8 4 2 -4] find matrices P, L, and U so that PA = LU using Matlab's lu function. Based on your results: did Matlab use pivoting during the lu-computation? b) For b = [4;-4;-5;3;7] solve Ax =...

For the system 2x1 − 4x2 + x3 + x4 = 0, x1 − 2x2 +...

For the system 2x1 − 4x2 + x3 + x4 = 0, x1 − 2x2 + 5x4 = 0, find some vectors v1, . . . , vk such that the solution set to this system equals span(v1, . . . , vk).

Solve the following systems of equation using the formula by Cramer and with the inverse matrices....

Solve the following systems of equation using the formula by Cramer and with the inverse matrices. 4x1 - x2 + 2x3 = 8 -x1 + 2x2 = -7 x1 - 3x2 - 5x3 = 2

Use LU decomposition to solve the following system of equations (show your work). Do not use...

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(a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find...

(a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve at the point (1, 2). y = (b) At what points does this curve have horizontal tangents? (x, y) = (smaller y-value) (x, y) = (larger y-value) (c) Illustrate parts (a) and (b) by graphing the curve and the tangent lines on a common screen.

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