For Exercises 37-38, the general solution is given for a system of linear equations. Find three individual solutions to the system. 2 x − 3 y + z = 1 x + 4 y − z = 3 5 x − 2 y + z = 5 Solution: x − 3 x + 4 , − 11 x + 13 x is any real number
For Exercises 37-38, the general solution is given for a system of linear equations. Find three individual solutions to the system. 2 x − 3 y + z = 1 x + 4 y − z = 3 5 x − 2 y + z = 5 Solution: x − 3 x + 4 , − 11 x + 13 x is any real number
Solution Summary: The author calculates the three individual solutions of ordered triples for a given system of equations using the provided general solution.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
College Algebra with Modeling & Visualization (5th Edition)
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