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  3. problem 6 consider the system of equations 3x1 2x2x...

Question: problem 6 consider the system of equations 3x1 2x2x...

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Problem 6: Consider the system of equations 3x1 + 2x2-x, = b2 Write the system as an augmented matrix and start by performing Gaussian elimination until the matrix is in row echelon form. Note that says row echelon not reduced row echelon you only need to get zeros in the lower triangle. Note also youll have to do this by hand because of the symbolic bs on the right hand side. a) b) What condition(s), if any, on the values of the i will result in the system having no solution? If these conditions exist, illustrate with an example -pick values for b, bi, and bs, plug them into the original matrix, and rref using Octave to clearly show no solution. If no such conditions exist, explain why. What condition/s), if any, on the values of the b, will result in the system having a unique solutionIf these conditions exist,illustrate with an example - pick values for b, b,, and b,, plug them into the original matrix, and rref using Octave. Interpret and write the unique c) solution. If no such conditions exist, explain why d) What condition(s), if any, on the values of the b will result in the system having infinitely many solutions? If these conditions exist, illustrate with an example - pick values for , *2, and Dsplug them into the original matrix, and rref using Octave. Interpret and write the parameterized solution. If no such conditions exist, explain why.

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