The following matrix is the augmented matrix for a system of linear equations. A = 1 1 0 1 1 0 0 1 3 3 0 0 0 1 1 2 2 0 5 5 (a) Write...

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The following matrix is the augmented matrix for a system oflinear equations. A =

11011
00133
00011
22055

(a) Write down the linear system of equations whose augmentedmatrix is A.

(b) Find the reduced echelon form of A.

(c) In the reduced echelon form of A, mark the pivotpositions.

(d) Does the system have no solutions, exactly one solution orinfinitely many solutions? Justify your answer

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