Describe what is meant by the augmented matrix of a system of linear equations.

Nannie Mack 2020-11-17 Answered
Describe what is meant by the augmented matrix of a system of linear equations.
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insonsipthinye
Answered 2020-11-18 Author has 83 answers
Step 1
Describe what is meant by the augmented matrix of a system of linear equations.
Step 2
Let us consider a linear system of N equations in M unknowns A11x1+A12x2+A13x3+..+A1MxM=b1 A21x1+A22x2+A23x3+..+A2MxM=b2
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AN1x1+AN2x2+AN3x3+..+ANMxM=bN
represnted as , Ax=b where A is the N×M matrix of coefficients,x is the M×1 vectors of unknowns and b is the N×1 vector of constantThe augmented matrix of the system is (Ab) e.g, The system of two equations in two unknowns
2x1+x2=1
x1+2x2=3
can be represented in matrix form as
Ax=b
where A=[2112],x=[x1x2]andb=[13]
The augmented matrix of the system is
(Ab)=[211123]
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