Construct an augmented matrix for this linear system: x − y − 4z = 5 2x + 2z = 0 4x + y + z = 3.
1 answer:
The augmented matrix for the linear system is constructed as
<u>The </u><u>augmented matrix</u><u> for the linear system of equation is used to represent equations in a matrix form and used to perform certain operations in the row of the given matrix</u>.
The system of equation have 3 variables and we can represent it using a 3by3 matrix system.
The system of linear equation are
With the equation above, we can proceed to construct the augmented matrix for this linear system
=
The first equation is represented in the first horizontal row, the second and third equation are represented in the second and third rows respectively.
Learn more about augmented matrix here
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Inequalities are used to represent unequal expressions.
The solution set to is:
The inequality is given as:
From the inequality above, we have the following observation.
- The value of variable x starts from 7/16 (inclusive)
- The value of variable x has no end (i.e. infinity)
Because, 7/16 is inclusive of the values of x, we make use of the open square bracket i.e. [
We treat , as an exclusive value. So, we make use of the close parenthesis i.e. )
Hence, the solution set is:
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