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Using Mathematica: (2x – 3y = 4 4. Consider the system of equations: 1-2 +1.5y =...
3.Consider the following system of equations: 2x+3y + z-1 xy4 Write this system of equations in matrix form (AX- B). What property of A tells you if the system has a unique solution? Does this system havea unique solution? Why or why not? (Answer without solving the system.) Find the solution(s) to this system of equations using matrix multiplication.
Consider the following system of linear equations: 2 2x + + 3y - 22 7y - 3z ky + 5z = = = 2 6 5 Find the value of k so that the system has no solutions. Your value of k should be an integer. Answer: Check
3. Consider the following system of linear equations: 2x + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 7z = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 2. Let v= [6, 1, 2], w = [5,0, 3), and P= (9, -7,31). (i) Find a vector u orthogonal to both v and w....
Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.) 3y + 2z 4 2x-y-3z 2 2x 2y z6 (x, y, 2) Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.)...
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) x − 2y + 3z = 3 2x + 3y − z = 0 x + 2y − 3z = −7 (x, y, z) = ( )
Question 1 : Solve the following system of equations: du at = 22 + +3y dy = 2x + y dt Question 2: State if the following system of equations have Unique solution, no solution or infinite solutions. Explain why? dx = x+2y at dy dt = x+2y
Type or paste question here 6. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. S 9x + 6y = -30 | 7x – by = -34 7. Solve the system of equations. If there is no solution, say so. If there are infinitely many solutions, write the general form of the solution. 2x + 3y = 5 | 4x + 6y = 6
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...
1. Consider the following augmented matrix of a system of linear equations: [1 1 -2 2 3 1 2 -2 2 3 0 0 1 -1 3 . The system has 0 0 -1 2 -3 a) a unique solution b) no solutions c) infinitely many solutions with one free variable d) infinitely many solutions with two variables e) infinitely many solutions with three variables
Solve the system of equations. If the system has no solution, say that it is inconsistent. 4x + 2y + z = 2 | 15x + 3y = 0 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. 8 3 O A. The solution is x= y= and z= (Type integers or simplified fractions.) OB. There are infinitely many solutions. The solutions set is {(x.y.z) | x = 0, y = z is...