Find the general solution of the system below. Give your answer as a vector X1 + 2x2 - 3x3 = 0 4x1 + 7x2 - 9x3 = 0 -X1 - 3x2 + 6x3 = 0

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

A:

Q: Reduce the system to upper triangular for by two row operations. 2x+3y+z = 8, 4x+7y+5z = 20, -2y+2z…

A: Given Data: Equation 1: 2x+3y+z = 8 Equation 2: 4x+7y+5z = 20 Equation 3: -2y+2z =0 The augmented…

Q: Give the parametric vector form of the general solution of the following system of linear equations:…

A:

Q: -9 9,

A: Given: Matrix A A=145-9-7-1-2-131-2-303-10-3-649 To Find: Row Echelon form using Gauss Elimination…

Q: Solve the system 4x1 -3x2 +2x3 +4x4 +x2 +3x3 +3x4 -I1 5 3x1 -2x2 +5x3 +7x4 -2x1 +2x2 +6x3 +6x4 10…

A:

Q: 2x1 + x₂ − x3 + 3x4 3x1 + C3 – 4 21 – 2 + 3x3 – 54 = = = -3, -2, 1.

A:

Q: x1 + x22x3 4x13x2 + x3 3x12x2 + x3 = 4, = 0, = -2.

A:

Q: 4. Using elimination, solve the system 3 3x+4y =1 2x + 3y = 3 Give the pivot and multiplier.

A:

Q: xi + 3x2 + x3 =#1 – 9x2 + 2x3 = 1 %3D = -1 -3x2 – 613 = -3 %3D

A:

Q: Decide which one of the following systems of polynomials is a linearly inde- pendent system: (i) x²…

A:

Q: Consider the following linear equations: 7x + 6y + 5z = −7 7x +(18-k)y + 4z = -5 7x + 6y + (9- k)z…

A: Let's solve given linear equations for no solution and infinite number of solution.

Q: Solve each of the following systems of equations. Express the solution in vector form. (a) x+y+2z=4…

A:

Q: 1- x2 + X3 + 2x4 = 0 1- 2x2 + X3 + 3x4 = 0 - 4x2 + 3x3 + 7x4 = 0 2x1 – x2 + X4 = 0

A:

Q: X1 + 3x2 – 2xX3 + X4 = -1 2x1 – 2x2 + x3 – 2x4 = 1 X1 +x2 - 3x3 +x, = 6 ; GAUSS ELIMINATION 3x1 – x2…

A:

Q: Resuelva por minimos cuadrados el sistem 5 3 3 453 354 2 1 5, Reporte x3 21 I2 I3 1 4

A: Least square solution of a system of linear equations Ax=b can be calculated by solving ATAX=ATb We…

Q: Use row operations on ( A|b) by substracting row 1 from row 2 and row 3 respectively. Fill in the…

A: Topic:- matrix algebra

Q: Don't use chat gpt Chatgpt means downvote

A: Step 1: Reference: Linear Algebra

Q: Write the following system as a vector equation involving a linear combination of vectors and solve…

A: The given equations are: 5x1-2x2-x3=24x1+3x3=-1 We need to find the solution of the above system…

Q: Solve the system using row operations. +x %3D +y У +2 %3D +z -7 %3D

A:

Q: Resuelva por mínimos cuadrados el sistema: 1-2 3 2 1 0 3 -4 2 5 2 Escriba en orden los valores de x1…

A:

Q: 4 -x1   + 2x2  +     3x3               - x5  +  15x6 = 10 -2x1 -  3x2  +   13x3  -  3x4  -  2x5  -…

A:

Q: Solve the system 21 X2 x3 C4 +s +t 5x1 -21 4x1 3x1 -6x2 +2x3 +₂ +3x3 +5x3 -9x3 -5x2 -3x2 +2x4 = +2x4…

A:

Q: For the following system of linear equations:

A: Given the system of linear equations,                  x1+x2=3,-x1+x2=3,4x1+5x2=6.

Q: Solve the system by using elementary row operations on the equations. Follow the systematic…

A:

Q: 1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5xs = 5 2x1 - 3x2 + 4.x3 -…

A: GIven equations in matrix form: AX=D 123452-34-5111-1-115-4-32134-3-46x1x2x3x4x5=510897

Q: Use matrices to solve the system.

A: Note that given system has 2 equations but 3 variables. Therefore, it may have infinitely many…

Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as…

A: The solution is given as

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.