Write the solution set of the given homogeneous system in parametric vector form. 4x1 +4x2+8x3 = 0 -12x₁-12x₂-24x3 = 0 -7x₂ +14x3 = 0 X₁ where the solution set is x = x₂ X3
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- Write the solution of the given system in parametric vector form. xi + 3x2 + x3 = 1 -4x1 – 9x2 + 2x3 = -1 -3x2 - 613: -3Find all solutions, if any, to the linear system Express your answer in vector form.Give the parametric vector form of the general solution of the following system of linear equations: -4x1 +x2 9. -8x1 +2x2 18 +x2 x2
- Give the parametric vector form of the general solution of the following system of equations: -4 -3x5 +5x6 x1 -2x2 -2x3 -4x5 +2x6 -5 %3D -x4 -2 -2x2 +7x5 -7x6 X2 X3 +x2 X5 X6_ +x6 +x5 ||Determine if the system has a solution. If so, write the solution in parametric vector form. How does this compare to the solution(s) to the homogeneous linear system with the same coefficients on each variable? -x1 + X2 2x1 + 3x2 x1 + X2 - 5x3 5x3 x3 = = -1 12 5Write the solution set of the given homogeneous system in parametric form. + 2x2 + 17x3 0 12x2 97x3 0 4x2 24x3 0 x1 - 5x1
- Describe the solutions of the following system in parametric vector form. Also, give a geometric description of the solution set. *1 + 3x, +x3 = 1 -4x, - 9x, + 2x, =-1 -3x, - 6x, = -1.Suppose the solution set of a system of linear equations can be described as x₁ = 2-5x4 x₂ = -4x4 x3 = 5 +9x4 with 4 free. a. Write the solution to this system in parametric vector form. x = DNE x+x4Describe all solutions 2 -1 3 -4 2 -6 A (a) Write the solution X1 + 3x2 + x3 -4x19x2 + 2x3 -3x2 -6x3 of Ax = 0 in parametric vector form if 1 -2 set of the homogeneous system in parametric vector form. = 0 = 0 0
- Consider the system of equations below x1 – 2x1 – x3 + 3x4 - 2x1 + 4x2 + 5x3 - 5x4 - 3x1 – 6x2 – 6x3 + 8x4 2 Write a vector equation that is equivalent to the system of equations. Find the general solution of the system.Express the given system of linear equations as a vector equation. -2x1 + X1 5x2 10x3 = 2x₂ + 3x3 7x1 17x2 + 34x3 X1 - + X2 = 4 -1 16 + X3Express the following system of linear equations as a vector equation. 9x19x2 + 6x3 = -1 3x1 + 8x2 + 0x3 1 = -2x1 + 0x2 + 6x3: 8-8-8-8 = 4