For the linear system 3x + 2y + 10z = -6 x + 2z = -4 y + 2z = 3x + 4y + 10z = 8 a) Use your calculator to place the augmented matrix in RREF and write it here. b) Find the general solution to the linear system, written as either the vector equation of a line or the vector equation of a plane.
5. (15 pts) For the linear system x + 2y + z = 4 2 + 5y + 2z = 3 4x - y +9z = -1 a) Write the system in matrix-vector form Ax = b. b) Form the augmented matrix [ A6] c) Fill-in the necessary row operations to produce each of the following matrices. 4 1 2 1 0 -3 -1 0 9 -5 17 → O CON 1 00-8 4 -1 20 1 2 1 4...
Question 7 O pts + X Given the system 3x – 2y + 5z = -5 3-y + 32 = -3 4x +y + 62 = -6 please box answers ill thumbs up write the augmented matrix and solve using Gaussian or Gauss-Jordan elimination
Write the matrix corresponding to the following system of linear equations. - 8x + 4y = 2 4x - 3y = 6 What is the corresponding matrix? (Do not simplify.) Tes Change the third equation by adding to it (-3) times the first equation. Give the abbreviation of the indicated operation. (x + 4y + 5z = 4 5x - 3y - 2z = 1 3x + 3y + 2z = 1 The transformed system is x + 5x -...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row equivalent to the augmented matrix c) Find the general solution of the system d) Write the homogeneous system of equations associated with the above (nonhomogeneous) system and find its general solution. Given the following system of linear equations 1. 2xi + 4x2...
1. Solve the following system of equations using Gauss-Jordan elimination. 3x - 2y +4z=3 2x +2y-2z=4 x+4y- &z=1
Consider the linear system in three equations and three unknowns: 1) x + 2y + 3z = 6, 2) 2x − 5y − z = 5, 3) −x + 3y + z = −2 . (a) First, identify the matrix A and the vectors x and vector b such that A vector x = vector b. (b) Write this system of equations as an augmented matrix system. (c) Row reduce this augmented matrix system to show that there is exactly...
olve each system by graphing 3x+ 2y> 6 2) 3) ys4 5) 69 x +3y 3 7) 5x + 2y 2-4 8) 7x +4y < 16 x +2y> x+4y <-16
solve the system -x+y+3z=-3 x-2y-2z=8 3x-y-4z=6
Solve the following system of equations analytically. Give exact answers. (10 pts) A) • x-2y + 3z = 5 2x + 3y - z= -4 • 3x - 4y - 2z = -16