Question

Find the general solution of the homogeneous system below. Give your answer as a vector. x1...

Find the general solution of the homogeneous system below. Give your answer as a vector.

x1 + 2x2 - 3x3 = 0

4x1 + 7x2 - 9x3 = 0

-x1 - 4x2 + 9x3= 0

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
What is the general solution to this system of diff. eq.? x1' = x1 + 2x2...
What is the general solution to this system of diff. eq.? x1' = x1 + 2x2 + 2x3 x2' = 2x1 + 7x2 +x3 x3' = 2x1 + x2 + 7x3
Find the General Solution to the following system of differential equations: x1' = -3x1 - 2x2...
Find the General Solution to the following system of differential equations: x1' = -3x1 - 2x2 x2' = 9x1 +3x2
Solve the following system of linear equations: 3x2−9x3 = −3 x1−2x2+x3 = 2 x2−3x3 = 0...
Solve the following system of linear equations: 3x2−9x3 = −3 x1−2x2+x3 = 2 x2−3x3 = 0 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. If the system has infinitely many solutions, your answer may use expressions involving the parameters r, s, and t. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
Give augmented matrix for this system. Find all solutions to this system. Indicate all parameters. x1-x2+x3+x4=1...
Give augmented matrix for this system. Find all solutions to this system. Indicate all parameters. x1-x2+x3+x4=1 2x2+3x3+4x4=2 x1-x2+2x3+3x4=3 x1=? x2=? x3=? x4=?
For parts a and b, find a basis for the solution set of the homogeneous linear...
For parts a and b, find a basis for the solution set of the homogeneous linear systems. Show all algebraic steps. a. x1 + x2 + x3 = 0. x1 - x2 - x3 = 0 b. x1 + 2x2 - 2x3 + x4 = 0. x1 - 2x2 + 2x3 + x4 = 0. for parts c and d use your solutions to parts a and b to find all solutions to the following linear systems. show all algebraic...
Find the general solution to the non-homogeneous differential equation. y'' + 4y' + 3y = 2x2...
Find the general solution to the non-homogeneous differential equation. y'' + 4y' + 3y = 2x2 y(x) =
Find the general solution to the following linear system around the equilibrium point: x '1 =...
Find the general solution to the following linear system around the equilibrium point: x '1 = 2x1 + x2 x '2 = −x1 + x2 (b) If the initial conditions are x1(0) = 1 and x2(0) = 1, find the exact solutions for x1 and x2. (c) Plot the exact vector field (precise amplitude of the vector) for at least 4 points around the equilibrium, including the initial condition. (d) Plot the solution curve starting from the initial condition x1(0)...
A system of linear equations is said to be homogeneous if the constants on the right-hand...
A system of linear equations is said to be homogeneous if the constants on the right-hand side are all zero. The system 2x1 − x2 + x3 + x4 = 0 5x1 + 2x2 − x3 − x4 = 0 −x1 + 3x2 + 2x3 + x4 = 0 is an example of a homogeneous system. Homogeneous systems always have at least one solution, namely the tuple consisting of all zeros: (0, 0, . . . , 0). This solution...
Find the general solution of the equation • y″+ y = cosx i) The homogeneous solution...
Find the general solution of the equation • y″+ y = cosx i) The homogeneous solution yh(x) and yp(x) ii) The general solution using the initial conditions y(0)=1 and y'(0)=1
Parametric Vector Form 1X1 + 3X2 + 0 - 3X4 = 0 1X1 + 4X2 -...
Parametric Vector Form 1X1 + 3X2 + 0 - 3X4 = 0 1X1 + 4X2 - 5X3 + 2X4 = 0 0 + 1X2 - 4X3 + 12X4 = 0 0 + 0 + 1X3 + 8X4 = 0 Give the solution in parametric vector form, and say whether a non-homogeneous system associated with with these coeffcients have no solution
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT