In Exercises 5–14, the matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists. 12. [ 1 0 2 1 0 1 3 5 0 0 0 0 ]
In Exercises 5–14, the matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists. 12. [ 1 0 2 1 0 1 3 5 0 0 0 0 ]
Solution Summary: The author explains that the matrix associated with the solution to a system of linear equations is in row-echelon form.
In Exercises 5–14, the matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists.
In Exercises 11–14, solve the systems of equations in Z7.
In Exercises 5–8, determine if the columns of the matrix form a linearly independent set. Justify each answer.
EXER 3.1
Find a symmetric matrix E (E = ET) and
a skew-symmetric matrix F(F = -FT) such that A=E+F.
Justify all parts of the solution.
1 4 3
-H
A =
-4 -1 2
-3 -2 1
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