4) Consider the equation sets below; x + 3y + 2t = 1 z + 4t = 6 x + 3y + z + 6t = 7 a) Write the system of equations as an augmented matrix [A b] and find [R d] by using the usual elimination methods. b) Find a complete solution to Ax = b as the sum of particular and special solutions x = Xp + Xn.

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Q: x – 2y = 2 2x – 4y – z = 4 3x – 6y = 6 %3D

A: First write augmented matrix and apply row operation to change in echelon form

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A:

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A: Given : x'=1-40-201006-12-1-60-40-1x  ; x1=e-t1001  ; x2=e-t0010  ; x3=et010-2 ; x4=et 1030 (a) To…

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Q: In Exercises 15–16, solve each system using matrices. 15. (2x + y = 6 13x – 2y = 16 x - 4y + 4z = -1…

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A:

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Q: :Given : The system in matrix operation form AX=b is| What is the cofactor of 2 in matrix A?

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Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

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Q: solve the given system of equations using either Gaussian or Gauss-Jordan elimination.

A: Given: 12x1+x2-x3-6x4     = 216x1+12x2     -3x4+x5= -113x1       -2x3          -4x5=8

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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.