Consider the system of equations shown below. 3w - 2x + 16y - 27 = -9...
20. [-13.22 Points] DETAILS LARLINALG8 4.6.054. ASK YOUR TEACHE Consider the system of equations shown below. 3w - 2x + 16) - 2z = -9 -W + 5x - 14y + 18z = 37 3w - X + 14y + 2z = 1 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + Xh, where xp is a...
Consider the system of equations shown below. 3w - 2x + 16y - 22 = -8 -w + 5x - 14y + 18251 3w - x + 14y + 22 = 1 (a) Determine whether the nonhomogeneous system Axb is consistent O consistent Inconsistent (b) If the system is consistent, then write the solution in the form x = x + xh where x is a particular solution of Ax=b and is a solution of AX -0. (Ift x =...
Consider the system of equations shown below. 2x - 4y + 5z = 10 -7x + 14y + 4z = -35 3x - 6y + z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + xn, where xp is a particular solution of Ax = b and xn is a solution of Ax = 0....
Consider the system of equations shown below. x - 4y + 5z = 8 -7x + 14y + 4z = -28 3x - 6y + z = 12 If the system is consistent, then write the solution in the form x = xp + xh, where xp is a particular solution of Ax = b and xh is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.) X = [ ] + t...
Find the complete solution of the system of equations below and write the solutions in the form of x = x + xn, where x, is the particular solution and xn is a solution to the homogeneous system. x – y – 2z + 3w = 4 3x + 2y – z + 2w = 5. -y – 7z + 9w = -2
Given a system of linear equations: w + 2x - 3y + 4z = 1 3w + 6x - 9y + tz = 2 (i) Express the system in [A][b] form.(ii) Determine the value of t such that: - the system is consistent; and - the system is inconsistent. (iii) Determine the rank of A, and by using the Rank Theorem, determine the number of free variables.
DIFFERENTIAL EQUATIONS / Linear Algebra Only people that are proficient in DIFFERENTIAL EQUATIONS should even attempt to solve. No beginners or amateurs allowed. Please write clearly and legibly. No sloppy Handwriting. I must be able to clearly and easily read your solution and answer. Circle final answer. Here is an example of what the answer should look like. The answer should be in this form. example 7x 9.7.15 Question Help Use the variation of parameters formula to find a general...
7. Solve the system of equations below using matrices (row operations). If the system has no solution, say that it is inconsistent. Include your work. 2x + y = -4 -2y + 4z = 0 (3x - 2z = -11
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
DIFFERENTIAL EQUATIONS / Linear Algebra Only people that are proficient in DIFFERENTIAL EQUATIONS should even attempt to solve. No beginners or amateurs allowed. Please write clearly and legibly. No sloppy Handwriting. I must be able to clearly and easily read your solution and answer. Circle final answer. 9.7.15 Question Help Use the variation of parameters formula to find a general solution of the system x' (t) = Ax(t) + f(t), where A and f(t) are given. - 16 1 A=...