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: Q1: Solve the set of equations using matrix: x+ 2y +3z 1 y + 4z = 0 5x + 6y = 1

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Q: х+ у+ z%3 0 х+ у—аz %3D 0 az = 0 —ах + у+ z %3D 0 z = 0 —х + аy — z %3D 0

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Q: -x+2y-2z 5 3x-3y+5z = -6 -2x+3y-4z 6 Write the augmented matrix:

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Q: Write the system of equations as an augmented matrix -r 4b 250 - 2r + 7b 350 - - 4r + 156 + 150 - ||

A: we have to write the augmented matrix

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.