Explanation: Gauss Seidal method is also termed as a method of successive displacement because with the iterations, we keep on displacing the values we select for the unknowns which are used in the subsequent steps.

x=2.43, y=3.57, z=1.92.

Explanation: The necessary condition for factorization method is that all principal minors of the matrix should be non-singular. Otherwise, there will be no formation of lower and upper triangular matrix.

Hence x2= 1.571.

where Y = logy, A = loga, B = b and X = x.

Explanation: Secant Method is also called as 2-point method. In Secant Method we require at least 2 values of approximation to obtain a more accurate value.

f(0.18) = 1.18878784.

Explanation: This is because it is the method employed for solving a matrix such that for every row of the matrix, the magnitude of the diagonal entry in a row is larger than or equal to the sum of the magnitudes of all the other (non-diagonal) entries in that row. This helps in converging the result and hence it is an assumption.

Hence we stop the iterations after 6. Therefore the approximated value of x is -2.703125.

Therefore, the positive root corrected to 4 decimal places is 2.7065.

Substituting the values in the equation we get x1=1.857 which is 1.86 rounded to 2 decimal places.