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Instructions: Please write out the solution to each of the problems, clearly showing all steps. Any...
-8x1-3x2+2x3 0 -xi + 4x2 + 2x3 0 Determine if the system has nontrivial solution. Try...
-8x1-3x2+2x3 0 -xi + 4x2 + 2x3 0 Determine if the system has nontrivial solution. Try to use as few equivalent row operations as possible. Show all your work, do not skip steps Displaying only answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) -xi-3x2 + 5x3-0 13- -3x 7x2 +9x3 0 Write the solution set of the given homogeneous system of equations in...
Write the solution set of the given homogeneous system in parametric vector form. 4x1 + 4x2...
Write the solution set of the given homogeneous system in parametric vector form. 4x1 + 4x2 + 8x3 = 0 8x1-8x2-16x3-0 5x2 + 5x3 = 0 X1 where the solution set is x- X2 X3 x=x3 (Type an integer or simplified fraction for each matrix element.)
Write the solution set of the given homogeneous system in parametric vector form. 2x1+2x2 + 4x3=0...
Write the solution set of the given homogeneous system in parametric vector form. 2x1+2x2 + 4x3=0 4x1-4x2-8x3 =0 -6x2 + 6x3 = 0 where the solution set is x-X2 X3 (Type an integer or simplified fraction for each matrix element.)
c. Now write the general solution in parametric form. x = X11 X2 X3 XA X5...
c. Now write the general solution in parametric form. x = X11 X2 X3 XA X5 = P + (vectors multiplied by free variables) (Fill in the particular vector p, then factor out any remaining free variables from your expression above.) (4 points) particular 1 X2 X3 II II X4 + X2 X5 + 0 0 LX6 0 X₂ X₂ X₃ X4 Xg X6 1 2 3 0 5 6 d. Write a vector equation equivalent to the reduced system:...
Please show all steps clearly. 3. Find the determinant of A using row reduction to an...
Please show all steps clearly.
3. Find the determinant of A using row reduction to an echelon form. Show at least two row equivalent reduced matrices and give the determinant of your final echelon form. 2 3 4 A = 1 3 -2 15 0 -1)
Please show what answers go in what box clearly and show your steps Can u please...
Please show what answers go in what box clearly and show your
steps Can u please solve both questions its my last question for
the month
(1 point) Given that the vectors X and X, are solutions of a system 1X = AX, find the Wronkian and determine whether the vectors form a fundamental set on (-00,). x-(-)«.x=[]+(3 W(X. X,) Fundamental set: (Y Yes or N for No): Y (1 point) Given that the vectors X1, X2, X, are solutions...
I need helo with that question. Please check screen short and show all the steps. The...
I need helo with that question. Please check screen short and
show all the steps.
The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system 1-1 0 0 5 0 1-3 0-4 o 0 1-2 3 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice OA The solution set contains one...
Do each of the following eight (8) problems. The problems have equal weight. For each problem, in order to receive maximum possible credit, show the steps of the solution clearly,and provide appr...
Do each of the following eight (8) problems. The problems have equal weight. For each problem, in order to receive maximum possible credit, show the steps of the solution clearly,and provide appropriate explanation. Return this exam with your answer sheets . Chapter continunous-time system, with time t in seconds () input fO, and output yo. is specified by the equation y(t) = 1.5cos(2x500 + 0.8ft). a. Is this system instantaneous (memoryless) or dynamic (with memory)? Justify your answer Show that...
Work out the following problems showing all steps and unit conversions. Express all answers in Standard...
Work out the following problems showing all steps and unit conversions. Express all answers in Standard Scientific Notation, to the appropriate number of Significant Figures. 1) 6.0 ml/sec x 4.0 hrs = ? gal 2) 10 L/hr x 2 days = ? liquid ounces 3) 3.00 cm/day x 5.05 years = ? mi 4) 20. L/sec x 4.0 hr = ?? gal 5) 50. m/sec x 2.00 hr = ?? km 6) 1.5 x 10-5 m/sec x 2.5 x 10-3...
Show all steps and solution clearly: 2. For the following system: T-13 1 07 x(t) =...
Show all steps and solution clearly:
2. For the following system: T-13 1 07 x(t) = -30 0 1 x(t) + Ou(t) 10 00 y(t) = [1 0 0] x(t) a. Determine if the system is completely controllable. b. If the system is completely controllable, design a state feedback regulator of the form u(t) = -Kx(t) to meet the following performance criteria: • %PO = 1.5% . Ts = 0.667 sec
-8x1-3x2+2x3 0 -xi + 4x2 + 2x3 0 Determine if the system has nontrivial solution. Try to use as few equivalent row operations as possible. Show all your work, do not skip steps Displaying only answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) -xi-3x2 + 5x3-0 13- -3x 7x2 +9x3 0 Write the solution set of the given homogeneous system of equations in...
Write the solution set of the given homogeneous system in parametric vector form. 4x1 + 4x2 + 8x3 = 0 8x1-8x2-16x3-0 5x2 + 5x3 = 0 X1 where the solution set is x- X2 X3 x=x3 (Type an integer or simplified fraction for each matrix element.)
Write the solution set of the given homogeneous system in parametric vector form. 2x1+2x2 + 4x3=0 4x1-4x2-8x3 =0 -6x2 + 6x3 = 0 where the solution set is x-X2 X3 (Type an integer or simplified fraction for each matrix element.)
c. Now write the general solution in parametric form. x = X11 X2 X3 XA X5 = P + (vectors multiplied by free variables) (Fill in the particular vector p, then factor out any remaining free variables from your expression above.) (4 points) particular 1 X2 X3 II II X4 + X2 X5 + 0 0 LX6 0 X₂ X₂ X₃ X4 Xg X6 1 2 3 0 5 6 d. Write a vector equation equivalent to the reduced system:...
Please show all steps clearly.
3. Find the determinant of A using row reduction to an echelon form. Show at least two row equivalent reduced matrices and give the determinant of your final echelon form. 2 3 4 A = 1 3 -2 15 0 -1)
Please show what answers go in what box clearly and show your
steps Can u please solve both questions its my last question for
the month
(1 point) Given that the vectors X and X, are solutions of a system 1X = AX, find the Wronkian and determine whether the vectors form a fundamental set on (-00,). x-(-)«.x=[]+(3 W(X. X,) Fundamental set: (Y Yes or N for No): Y (1 point) Given that the vectors X1, X2, X, are solutions...
I need helo with that question. Please check screen short and
show all the steps.
The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system 1-1 0 0 5 0 1-3 0-4 o 0 1-2 3 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice OA The solution set contains one...
Do each of the following eight (8) problems. The problems have equal weight. For each problem, in order to receive maximum possible credit, show the steps of the solution clearly,and provide appropriate explanation. Return this exam with your answer sheets . Chapter continunous-time system, with time t in seconds () input fO, and output yo. is specified by the equation y(t) = 1.5cos(2x500 + 0.8ft). a. Is this system instantaneous (memoryless) or dynamic (with memory)? Justify your answer Show that...
Show all steps and solution clearly:
2. For the following system: T-13 1 07 x(t) = -30 0 1 x(t) + Ou(t) 10 00 y(t) = [1 0 0] x(t) a. Determine if the system is completely controllable. b. If the system is completely controllable, design a state feedback regulator of the form u(t) = -Kx(t) to meet the following performance criteria: • %PO = 1.5% . Ts = 0.667 sec
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