Write the given system of equations as a matrix equation and solve by using inverses. -3x,...

Question

Question

Answer 1

Answer #1

Given system of equations is in the form of AX=B where A=(-3 1 7-1 3 0 . X= & B- 0 Kz solution: *= AB Ronding At: [A: I] > [

5,=-9 K2=-4 & K3=8 X= 3 ge -3 X = -9-u-8 -36-12-24 27+12+32 in 2=-21 ; 2=-72 ; x = 71 6 K,=-10, K2=10 & K3=5 3 -3 -3 -3 X = 5

Answer 2

Similar Homework Help Questions

Write the given system of equations as a matrix equation and solve by using inverses. X1...

Write the given system of equations as a matrix equation and solve by using inverses. X1 х2 = k1 8X1 + 6x2 + x3 = K2 - 3x, - Xz = K₂ a. What are X7, Xy, and Xz when k, = -9, K2 = -5, and kz = - 7? X = X2 = Il b. What are xy, X2, and X, when kn = 1, K2 = -8, and kz = - 6? x, x2 = Xz c....
same question, just 3 different lettered sections Write the given system of equations as a matrix...

same question, just 3 different lettered sections Write the given system of equations as a matrix equation and solve by using inverses. X1 + X2 = k1 3x + 2x2 = kz a. What are X1 and X2 when kı = - 3 and k2= - 4? X1 X2= b. What are xı and x2 when ki = 5 and k2 = - 3? X1 = X2 = c. What are X1 and x2 when ki = - 1 and...
2. Solve the following linear systems of equations by writing the system as a matrix equation...

2. Solve the following linear systems of equations by writing the system as a matrix equation Ax = b and using the inverse of the matrix A. (You may use a calculator or computer software to find A-1. Or you can find A-1 by row-reduction.) 3x1 – 2x2 + 4x3 = 1 x1 + x2 – 2x3 = 3 2x1 + x2 + x3 = 8 321 – 2x2 + 4x3 = 10 X1 + x2 – 2x3 = 30...

10. Solve the system of differential equations by using eigenvalues and eigenvectors. x1 = 3x, +...

10. Solve the system of differential equations by using eigenvalues and eigenvectors. x1 = 3x, + 2x2 + 2xz x2 = x + 4x2 + x3 X;' =-2x, - 4x2 – x3
Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve...

Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 3x1 - 2x2 + 9x3 + 4x4 = 27 -X1 - 9x3 – 6X4 = -9 3x3 + X4 = 7 2X1 + 2x2 + 8x4 = -36 (x1, x2, x3, x4) = Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 - k)y...
[-/1 Points] DETAILS ROLFFM8 2.2.052. Solve the following system of equations by reducing the augmented matrix....

[-/1 Points] DETAILS ROLFFM8 2.2.052. Solve the following system of equations by reducing the augmented matrix. X1 + 3x2 - x3 + 2x4 -3 - 3x1 + X2 + x3 + 3x4 = -2 2x3 + X4 = - 4x4 = -6 2X1 4x2 2X2 1 (X1, X2, X3, X4) = D) Need Help? Talk to a Tutor

please help!!! Use an inverse matrix to solve each system of linear equations. (a) x +...

please help!!! Use an inverse matrix to solve each system of linear equations. (a) x + 2y = -1 x-2y = 3 (x, y)=( (b) x + 2y = 7 x - 2y = -1 (x, y) = Use an inverse matrix to solve each system of linear equations. (a) X1 + 2x2 + x3 = 0 X1 + 2x2 - *3 = 2 X1 - 2x2 + x3 = -4 (X1, X2, X3) - (b) X1 + 2x2 +...
Write the system of linear equations in the form Ax = b and solve this matrix...

Write the system of linear equations in the form Ax = b and solve this matrix equation for x. x1 – 2x2 + 3x3 = 24 -X1 + 3x2 - x3 = -11 2x1 – 5x2 + 5x3 = 42 X1 x2 = X3 ] 24 -11 42 [ x
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form...

For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?

Write the system of equations as a matrix equation of the form AX = B. X1...

Write the system of equations as a matrix equation of the form AX = B. X1 - 2x2 + 3x3 = - 4 - 2X1 + 4x2 = 1 X1 + X2 + 3x3 = - 3 X1 X2 = X3 (Type an integer or decimal for each matrix element.)