- #1
Boxiom
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Homework Statement
Homework Equations
The Attempt at a Solution
Tried to get it on reduced echelon form, but I haven't done problems like this before so I don't know what I'm supposed to do.
Thanks!
Boxiom said:The thing is I don't know where to start. By multiplying with -4 and adding to second row, I have:
1 5 -4
0 20-h 0
And this doesn't really tell me anything, as I have never done matrix with variables before.
An augmented matrix is a way to represent a system of linear equations. It is a matrix that includes both the coefficients of the variables and the constants of the equations in a single table.
To determine the values of h in an augmented matrix, you need to use row operations to reduce the matrix to its reduced row echelon form. This will allow you to solve for the variables, including h, by back substitution.
Yes, you can use any of the three elementary row operations: multiplying a row by a nonzero constant, swapping two rows, or adding a multiple of one row to another row. These operations do not change the solution of the system of equations.
If the augmented matrix has no solution, it means that the system of equations is inconsistent and there is no set of values that satisfies all of the equations. This could happen if the equations are contradictory or if there are more variables than equations.
Yes, there are many software programs and calculators that can solve systems of equations and reduce matrices to their reduced row echelon form. However, it is important to understand the process and steps involved in determining the values of h in an augmented matrix.