1. Consider the system of linear equations 1+2 33 2x4 + 2x5 = 1, -21+2x3 +...

 

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1. Consider the system of linear equations 1+2 33 2x4 + 2x5 = 1, -21+2x3 + x = 1, 1+2x2 23-24+2x5=4, -2x1 2x2+153 +9x4 -925-1, 21 x2+2x3 2x4-3x5=-1 for the unknown vector x = (x1, x2, 23, 24, 25). (a) In Matlab, define the matrix A and vector b, such that Ax = b. Copy/paste the Matlab code and output for A and b to your document. (b) Using the command rref determine the solution to the homogeneous system Ax 0. Copy/paste the Matlab code and output to your document and state the solution to the homogeneous system. (c) Using the command A\b determine the solution to the inhomogeneous system Ax=b. Copy/paste the Matlab code and output to your document. 1. Consider the system of linear equations 1+2 33 2x4 + 2x5 = 1, -21+2x3 + x = 1, 1+2x2 23-24+2x5=4, -2x1 2x2+153 +9x4 -925-1, 21 x2+2x3 2x4-3x5=-1 for the unknown vector x = (x1, x2, 23, 24, 25). (a) In Matlab, define the matrix A and vector b, such that Ax = b. Copy/paste the Matlab code and output for A and b to your document. (b) Using the command rref determine the solution to the homogeneous system Ax 0. Copy/paste the Matlab code and output to your document and state the solution to the homogeneous system. (c) Using the command A\b determine the solution to the inhomogeneous system Ax=b. Copy/paste the Matlab code and output to your document.