4- Answer the questions considering the linear equations below. x + y + z = 5 x + 2y + 3z = 7 x + 3y + 6z = 11 c) Write the elimination matrices E21, E31, E32 and their inverses. | a) Write these equations in matrix form as Ax = b } b) Put these equations in upper triangular form by following | the elimination steps. (Write 42, l31, l32 explicitly in these steps) 15-11

Q: Solve for X in the matrix equation 3X + A = B, 6 and B = -2 -12 4 where A = -5 4

A: Given: 3X+A=BA=46-50B=-2-1241 To Find: To solve the given equation for X

Q: Express the following system of linear equations as a vector equation: -4x1+3x2+6x3 = -7 -3x+3x₂-4x3…

A:

Q: Fuse an inverse matrix to solve the given system of equations. X-X, +x, = 1 2x, +x, +2x, =2 3x, +2x2…

A:

Q: inversion to solve the given systems of equation: 8000A+3000B+1000C = 700000,…

A: 8000A+3000B+1000C = 700000, 5000A+120000B+10000C=181000, 1000A+3000B+2000C=41000

Q: For the matrix A = (3+4)A=3A+4A (3+4)A = 3A + 4A = 4 3 5 -5 True False evaluate each side of the…

A: For given A we have to determine whether  (3 + 4) A = 3A + 4A  is true or false.

Q: Write it in five step augmented matrix  -9x-5y=7 -6x-6y=2

A:

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. -2x1…

A: Here we have to find x1 and x2

Q: Find the solution of the above system using the inverse of the matrix 2x1+3x2+x3 = 2 3x1+3x2+x3 =1…

A:

Q: Solve using a matrix x - y + 5z = 194x + z = 3x + 3y + z = -9

A: According to the given information it is required to solve the given equations using matrix method.

Q: 1. Solve with matrices: -7x₁ +5x2 - 6x3 = 3 5x12x2 + 3x3 = 5 X1 X2 + x3 = -2

A:

Q: Write the augmented matrix of the system 36x 2x 77x +6y +64y +33z -Z = || || || = 6 -5 = -1

A:

Q: X1 — 5х, + 2х; - 20 - —Зx1 + х2 — Хз %3D 8 — 2х2 + 5хз -16.

A: Given system of linear equation is x1−5x2+2x3=−20−3x1+x2−x3=8−2x2+5x3=−16..........1 Write the given…

Q: 2x, + 3x, - xz = 5 ーX」+ 2.x, + 3x, = 0 4.x - x2+ x3 = -1 X, + X3 = -1

A: Given that  2x1+3x2-x3=5-x1+2x2+3x3=04x1-x2+x3=-1 The objective is to find the solution for the…

Q: Write the given system of equations as a matrix equation and solve by using inverses. -x1 + x2 = k1…

A: The given system of equations is:-x1+x2=k1-2x1+x2=k2We can write this as a matrix equation [A][X] =…

Q: In this case, h = k = x = a. State the elementary row operation that transforms the first matrix…

A:

Q: 9. Solve the following system using a matrix and converting the matrix to reduced row echelon form,…

A: The given equations are;  3x-2y+5z=14 x-y+3z=5 4x+y+6z=1.

Q: Q2:- A/ Solve the linear equation by inverse of matrix X+2X,+2X=1 X+3X+X 4 X,+3X,+2X,-3

A:

Q: Express the following system of linear equations as a vector equation: +7x2-10x3+2x4 = 4…

A: The given linear equation system is

Q: Solve using a matrix 4x + 6y = -182x - 4y = 12

A:

Q: Write the following system of equations as matrix equations Ax=b and solve the computing A-¹b.…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Give a 3 x 3 elementary matrix E which will carry out the row operation (-9) R₂ R₂. E= Test that E…

A:

Q: Solve the system of equations using augmented matrix and put the matrix in REF and use backward…

A:

Q: Write the system of equations 2x12x2 = 1 7x13x2 = 2 in matrix form. By finding an appropriate…

A: Step 1:Step 2:

Q: Write the matrix equation for the following syatem. of equations and Linear also find its solution…

A:

Q: Given the following simultaneous linéar équations! X1 + X2 + 2X3 = 18 %3D X1 - 3X3 = -16 %3D X1 -…

A:

Q: Write down the steps for solving the system of equations using inverses of matrices. You do not have…

A:

Q: a) Write the augmented matrix for the row chelon form of the matrix. x + 2y3z = 9 2xy +z = 0 . b)…

A:

Q: Use inverse matrices to find the solution of the system of equations. 2х 2z = У Зх у + Z=-9 13 х +у…

A: The given system of equation can be written 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.