In Exercises 16-18, determine whether the given
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Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
- In Exercises 1-6, determine which equations are linear equations in the variables x, y, and z. If any equation is not linear, explain why not. 1.arrow_forwardUse a system of linear equation to find the parabola y=ax2+bx+c that passes through the points (1,2), (0,1) and (2,6)arrow_forwardDescribe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 3x₁ + 3x₂ + 6x3 = 12 - 9x1 - 9x2 - 18x3 = - 36 - 7x₂ +21x3 = 14 X₁ Describe the solution set, x= x₂ +x3\ 3x₁ + 3x₂ + 6x3 = 0 - 9x1 - 9x2 - 18x3 = 0 - 7x2 +21x3 = 0 X3 choice below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.) O A. X= O B. X=X₂ OC, x= O D. X=X₂ +X3 of the first system of equations in parametric vector form. Select the correctarrow_forward
- Find the equation of the plane containing the two lines.arrow_forwardDescribe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x₁ + 4x₂ + 8x3 = 16 - 12x₁ - 12x₂ - 24x3 = - 48 - 6x₂ + 12x3 = 12 X₁ Describe the solution set, x = x₂ X3 choice below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.) O A. x= O B. X=X₂ O c. x= O D. X=X₂ +x3 4x₁ + 4x₂ + 8x3 = 0 - 12x₁ - 12x₂-24x3 = 0 - 6x₂ + 12x3 = 0 + X3 of the first system of equations in parametric vector form. Select the correctarrow_forwardDescribe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x₁ +4x2 + 8x3 = 16 - 12x₁-12x₂-24x3 = - 48 - 6x₂ + 12x3 = 12 X₁ Describe the solution set, x= x₂ 4 X3 4x₁ + 4x2 + 8x3 = 0 - 12x₁-12x₂ - 24x3 = 0 - 6x₂ + 12x3 = 0 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.)arrow_forward
- Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x₁ +4x2+8x3 = 16 - 8x₁-8x2-16x3 = -32 - 4x2 + 8×3 = 8 Describe the solution set, x = C. X= +X3 X₁ OD. X=X₂ 4x₁ + 4x2 + 8x3=0 -8x₁8x2-16x3 = 0 - 4x2 + 8x3 = 0 choice. (Type an integer or fraction for each matrix element.) OA. X= OB. X=X₂ of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your X2 X3arrow_forwardDescribe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 2x, +2x2 + 4x3 =8 - 6x, - 6x2 - 12x3 = -24 - 4x2 - 4x3 = 16 2x, +2x2 + 4x3 = 0 - 6x, - 6x2 - 12x3 = 0 - 4x2 - 4x3 = 0 Describe the solution set, x= , of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice. X2 X3 (Type an integer or fraction for each matrix element.) O A. x= O B. X-X2 OC. x= +X2 O D. X-X2 +X3 Click to select and enter your answer(s) and then click Check Answer. 1 Dart remaining Clear All O Tyne herotoarrow_forwardDescribe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 2x1 + 2x2 + 4x3 = 8 - 6x1 - 6x2 - 12x3 = - 24 - 4x2 - 12x3 = 8 2x1 + 2x2 + 4x3 = 0 - 6x1 - 6x2 - 12x3 = 0 - 4x2 - 12x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your X3 choice (Type an integer or fraction for each matrix element.) О А. Х- O B. X=X2 O C. X= +x3|| O D. x=x2 +X3arrow_forward
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