Question 1181963
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A coefficient matrix is a matrix made up of the coefficients from a system of 

linear equations. An augmented matrix is similar in that it, too, is a 

coefficient matrix, but in addition it is augmented with a column consisting of 

the values on the right-hand side of the equations of the linear system.



For more explanations, see this web-site


https://people.math.carleton.ca/~kcheung/math/notes/MATH1107/wk04/04_augmented_matrix_and_row_equivalence.html