Write the solution sets to the following homogeneous system of equations as a linear combination of their basic solutions. (а) ш + 2л + 5у + 52 3D 0 (b) — За1 + 6л2 + 5лз — 11г4 3 0 2w + 4x + 10y + 10z = 0 x1 – 2x2 + 4x4 = 0 w + 4y + z = 0 w – 6x – 2y – 11z = 0 2x1 – 4x2 – 6x3 + 11x4 = 0

Q: Consider the three systems of linear equations: 4x1 + 6x2 + 2x3 + 8x4 2 4.x1 + 6x2 + 2x3 + 8x4 271 +…

A: We have to solve given problem:

Q: The vector (0, -2, -2) is a solution of the linear system: X1 + 3x2 – 3x3 = 3 5x1 + 13x2 – 13x3 = 13…

A:

Q: Return this to the familiar linear system 2х1 + х2 — ӕз + 2х4 3x2 – x3 + 2x4 -x3 + 4x4 = 2x4 -1 11…

A:

Q: v - 2w + x + 2y – z = -52 6v +3w- 2x + 4y – 3z = 57 -v + 2w – 3x + 4y – 5z = -365 8v + 13w – 2x + 8y…

A:

Q: Х1 + 2х2 + Зxз 3 —7 2х1 — Зх2 — 5х3 3D 9 - - — бх1 — 8х2 + Xз 3D — 22 8x2 + Xз 3—22

A:

Q: Evaluate the integral where E is the region over the part of the ball delined by dU=P

A: To evaluate ∫∫∫Ezx2+y2+z2-32dV and E is the region x2+y2+z2≤16 and z≥2 Given…

Q: Solve the system of equations:

A: We have to solve the following system of equations.

Q: Find the complete solution to the system of equations: -8r4 = 14 2x1 4x1 +4r2 +8r2 +3r3 +8r4 +2x5 =…

A:

Q: The system of linear equations 3x + 12y – 9z = 0 2х — 6у + 4z 3D 0 4х + 2у — 22 — 0 - - %3D has…

A: The option D is right.

Q: For each one of the following systems of linear equations: I) 20 8x1 + 3x2 12.x2 + 6x3 X1 + 10r3 30…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the three systems of linear equations: 4x1 + 6r2 + 2a3 + 8x4 4x1 + 6x2 + 2x3 + 824 2x1 +…

A: Let us reduce each of the systems of linear equations. A) x1 x2 x3 x4 b 4 6 2 8 2 6 9 0 16 4…

Q: Help use elimination to find all solutions of the system in image attached

A:

Q: Solve the following system of equations: (1) -x+2y+ 6z=10 (2) -10x+20y+ 60z = 100 O Ø (the null set)…

A:

Q: Solve the system 5x-4y+6z=-25 9x+2y-3z=-68 3x+y=-28 (x,y,z)=

A: The given equations are, 5x –4y +6z = – 25                                  ……(1).9x + 2y – 3z = –…

Q: Consider the following system: 2х + 3у — 2х х — 2у + 32 - 2y + 4z 1 1 %3D 2x – 2 (a) Find the…

A: The given equations are 2x + 3y - 2z = 1 x - 2y + 3z = -1 2x - 2y + 4z = -2 to find the parametric…

Q: Solve for b, y, c, d from the system of equations below: (b)(y) 4 10- = 0.01 – b – c – d (0.01 — Ь —…

A:

Q: Determine if each ordered pair is a solution of the systemof equations given.

A: Given: To Find:  To determine if each ordered pair is a solution of the systemof equations given.

Q: Graph the function а. Y%3D- Зx— 6х + 4 b. Solve the system of linear equation using any xcos²30 –…

A: Part (a):   First, find the root of the equation:

Q: Solve the following system of equations: X1 + 2x2 х1 + х2 — 2хз —- 4х4 —D 10 2x1 + x2 – 5x3 – 10x4 =…

A: on solving this we get the