Determine the solution forof the following2 3matrix equation4 5kA.5h – 3k- 4h + 2k|CHCHВ.3--h2- 2h – kС.3- -+ -22h – kD.-h--k2- 2h-k|23h+IIE.

Answered: Determine the solution for of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. A = y = 4 - 7 - 4 3 12 - 5 X = 4 3 -9 = 1 -1 00 10 3 - 4 1 Let Ly = b and Ux=y. Solve for x and y. 4 -7 -4 0 -4 - 1 0 0 - 1 Row reduce the augmented matrix [A b] and use it to find x. The reduced echelon form of [A b] is yielding x = 4 - 15 61
Consider the following equation where A is n x m matrix: AX = Y If n 2m, what can be said about the number of possible solutions to AX = Y
2 17. Solve the matrix equation: -2X + 3 -8 4 -6 -4 2 2 -8 A. -5 -9 1 С. -9 -7 1 5 1 1 В. -9 1 15 -7 7 5 D.
answer all these questions please: 1.) Using the matrix method, solve the following simultaneous equations 3x + 2y = 10 3x – 2y = 14 2.) Given that f(x) = 3x + 2 g(x) = 4 – x and h(x) = 2x - 7 2 Find:- i) f(-4) = ii) g[h(5)] =. iii) f[g(8)] = iv) hᴏf(x) v) g-1(0) = 3) . a) Two numbers, when multiplied, equal 54. If the difference of the two numbers is three and x represents the smaller number i) Represent the information given in equation form ii) Express as a quadratic equation iii) Solve the quadratic equation to find possible values for x iv) If told that x is a positive number, what are the values of the two original numbers? 4) Find the equation of the line joining the points (4, -3) and (-2, 7). 5) Find the equation of the line passing through the point (2, -7) and perpendicular to the line 3y = 8 – 2x 6) Give Log 2 = 0.301, log 3 = 0.477 and log 5 = 0.699 using the information given find a) Log 60…
9. Consider the matrix 0 1 A 2 2 y -1 0 а. Write the equation det A = 0 in terms of x, y, and z. b. Explain why vị and v2, the first two columns of A, satisfy the equation you found in the previous part.
For what values of x, y, z will this matrix be stable? -2 0 −1 1 A = y -2 2 1 0 -4 -4 2 Z -2 X −1 -3
Given the matrix 0 0 а — 2 3 — а 4+a а +5 2а + 9 —а — 1 2а — 3 3+ a 8 - a 1+a For what values of a is A singular? Justify your answers.
i need to find K and H with this augmented matrix. the way to solve the problem is by using pivots
In the given matrix equation, x + y = -1 -21 -2 0 1 2 3 GRA 13 - [ ] = y 20 X 7 1 5

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Determine the solution for of the following 2 3 h matrix equation 4 5 y k А. 5h – 3k y - 4h + 2k В. 3 - 2h – k С. 3 2 2h – k D. 3 II