1 Find the value of h for which the following linear system is consistent and find...
1 Find the value of h for which the following linear system is consistent and find the general solution in vector form of the resulting consistent linear system. x1+ x2+x3 +2x4 = 3 2x1+2x2+3x3+3x4 = h 5x1+5x2+6x3+9x4 = 10 numbers next to x’s are base numbers
2. Find the value(s) of h which make each system consistent. 5 (b) (a)22y h 1 (d)-2r3y 5 2rthy9 3. Suppose the system below is consistent for all possible values of f and . What can you say about the coefficients e and d Justify your answer
**PLEASE USE MATLAB
2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. 3x, + 2x,-4x, + x,-2 -x, +5x2 + 2x, + 3x4 = 4 4x,...
Help with system of linear equations.
Question 11 [10 points] Solve the following system of linear equations 2x1-4x2 2x3+4x46 2x1+5x2+x3-5x4 12 x1+3x2+x3-6x 11 -2x1+6x2-x3-2x4 -14 if the system has You can The system has no solution no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. appropriate) by clicking and dragging the bottom-right corner of the matrix. Row-echelon form of augmented matrix: 0 0 0 Official Time: 16:52:07 SUBMIT AND MARK
Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. h 2 -5 15 - 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix is the augmented matrix of a consistent linear system if h* (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The matrix is the augmented matrix of a consistent...
Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the general solution of the system (c) Solve the initial value problem given (0) 3 and y(0)-4 (d) Verify the calculations with MATLAB
Question 3 Consider the following linear system of differential equations dx: = 2x-3y dt dy dt (a) Write this system of differential equations in matrix form (b) Find the...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row equivalent to the augmented matrix c) Find the general solution of the system d) Write the homogeneous system of equations associated with the above (nonhomogeneous) system and find its general solution.
Given the following system of linear equations 1. 2xi + 4x2...
Consider the following linear system of differential equations: dx/dt = 2x-3y dy/dt = -x +4y (a) Write this system of differential equations in matrix form (b) Find the general solution of the system (c) Solve the initial value problem given x(0) = 3 and y(0) = 4 (d) Verify the calculations with MATLAB
Let k,h be unknown constants and consider the linear system:
(Linear Algebra. Topic is Row Echelon Form)
(1 point) Let k, h be unknown constants and consider the linear system 5y + 5z =-6 35 r This system has a unique solution whenever h If h is the (correct) value entered above, then the above system will be consistent for how many value(s) of a? A. a unique value B. no values C. Infinitely many values
In exercises 9-18 apply elementary equation operations to the given linear system to find an equivalent linear system in echelon form. If the system is consistent then use back substitution to find the general solution. See Method (1.11) and Method (1.1.2) 4x + 3y + z = 0 3x + 2y + z = -2 10. 3x-5y + 2z =-1