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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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If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans: Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ
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