
To write: the augmented matrixof the given system of linear equation and its dimension.

Answer to Problem 17E
Augmented matrix of the system of equation is
[7−5113190−810]
The augmented matrix of the given system of linear equation has dimension 2×4 .
Explanation of Solution
Given information:
A system of linear equation is given as
{7x−5y+z=1319x −8z =10
Concept used:
Co-efficient matrix of a system of linear equation of the form {a1x+b1y=c1a2x+b2y=c2 is given by
[a1b1a2b2]
The augmented matrix of the system of linear equation is given by
[a1b1⋮c1a2b2⋮c2]
Dimension of a matrix is
Dimension=Number of rows×Number of columns
Consider the given system of equation.
{7x−5y+z=1319x −8z =10
Now, the augmented matrix is given by
[7−5113190−810]
Here, the number of rows of the matrix is 2 and number of columns is 4.
So, dimension of the matrix is
Dimension=Number of rows×Number of columns=2×4
The augmented matrix of the given system of linear equation has dimension 2×4 .
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