Write the system of equations as a matrix equation of the form AX = B. X1...
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
14. -/12 POINTS LARLINALG8 2.1.043. Write the system of linear equations in the form Ax=b and solve this matrix equation for x. X1 - 2x2 + 3x3 = 12 -X1 + 3x2 - x3 = -7 2x1 - 5x2 + 5x3 - 22 Need Help? Read it 15. -/1 POINTS LARLINALG8 2.1.057. Find the product AA for the diagonal matrix. A square matrix 4 0 0 0 0 A 0 0 0 is called a diagonal matrix if all entries...
Write the system of linear equations in the form Ax = b and solve this matrix equation for x. = 9 -X1 + X2 -2x1 + x2 = 0 (No Response) (No Response) X1 1- [:)] (No Response) (No Response) X2 (No Response) X1 X2 (No Response)
70. In each part, find matrices A, x, and b that express the given system of linear equations as a single matrix equation Ax = b, and write out this matrix equation. (a) 2x1- x2+3x3= xi + 3x2 X2-X3= 1 -X1 (b) 4x1 + 4x2 + 4x3 = 4 4x2-2x3 =-2
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [1 2 -3 51 701 4.5 0000] A) x1 = 15+ 11x3 x2 = -5- 4x3 x3 is free C) x1 = 5 - 2x2 + 3x3 x2 = -5- 4x3 X3 is free B) x1 = 5 - 2x2 + 3x3 x2 is free x3 is free D) x1 = 15+ 11x3 x2...
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...
Use the definition of Ax to write the vector equation as a matrix equation. 7 -5 -9 3 5 7 1 X1 + X2 +X3 -4 -4 - 7 7 -9 8 -3 4 X1 3 1 X2 7 X₂ (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.)
4 Express the given system of linear equations as a vector equation. -2x1 + 5x2 - 10x3 = X1 - 2x2 + 3x3 = -1 7X1 - 17x2 + 34x3 = -16 X1 + X2 + X3
[-/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