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Consider the following system of linear equations.
X1+x3+x4 = 2
X1+x2+x3 = 6
X2+x3+x4 = 3
X1+x2+x4 = 0
(a) Write out the augmented matrix for this system of linear equations.
(b) Use elementary row operations to reduce the augmented matrix to reduced row- echelon form.
(c) Write out the solution to the system of linear equations.
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solve by factorization method; 10x-6y-3z=100, -6x+10y-5z=100, -3x-5y+10z=100
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