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  3. 1. consider the following system of equations, x1+

1. Consider the following system of equations, x1+0.5x20.5x1x2+1.5x3x3=b1=b2=b3, where (xi) are unknowns and (bi) are...

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1. Consider the following system of equations, x1+0.5x20.5x1x2+1.5x3x3=b1=b2=b3, where (xi) are unknowns and (bi) are constants. (i) Solve for x1,x2, and x3 using the Cramer's rule (google it). (ii) Represent the system of equations in matrix form, Ax=b, where A is a 3-by-3 matrix, x=(x1,x2,x3), and b=(b1,b2,b3). (iii) Invert A using a computer (you can use Mathematica, Matlab, Maxima (free), etc.), check whether your result is consistent with what you get in (i)

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