1.|Previous AnswersWaneFMAC6 3.2.002. Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-6.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your
answer in terms of x, where
0,4
2. Previous AnswersWaneFMAC6 3.2.006.
Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-
no solution
haodong luo
CHOI MAT211 Summer A 2015, section 43390/43703, Summer 1 2015
Instructor: Woonjung Choi
WebAssign
y = y(x).)
4x + y = 4
-4x + y = 4
(x, y) =
y = y(x).)
7x - 5y = 2
28x - 20y = 8
(x, y) = -1,2
4. -/10 pointsWaneFMAC6 3.2.013.
Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-
6.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your
answer in terms of x, where
y = y(x).)
2x + 3y = 4
-x - 3y = -
2
52
(x, y) =
y = y(x).)
0.5x + 0.1y = 0.7
0.1x - 0.1y = 0.1
x + y = 53
(x, y) =
y = y(x) z = z(x).)
x + y - 8z = 4
x - y - 5z = 0
x - z = 8 25
13
5
(x, y, z) =
y = y(x) z = z(x).)
x - y + 2z = 4
x - y + 3z = 2
(x, y, z) =
y = y(x) z = z(x).)
x + y - z = -6
x - y - 7z = -8
0.75x - 0.5y + 0.25z = 18
x + y + z = 4
(x, y, z) =
y = y(x), z = z(x), w = w(x).)
x + y + 3z = 2
y + 4z + w = 6
x + 3y + 7z + 2w = 8
x + y + 3z + w = 2
(x, y, z, w) =
9. -/10 pointsWaneFMAC6 3.2.056.
In the matrix of a system of linear equations, suppose that one of the rows is a multiple of
another. What can you say about the row-reduced form of the matrix?
The row-reduced matrix has a column of zeros.
The row-reduced matrix has two columns of zeros.
The row-reduced matrix has a row of ones.
The row-reduced matrix has a row of zeros.
The row-reduced matrix has two rows of zeros.
10.-/10 pointsWaneFMAC6 3.2.057.
Your friend Frans tells you that the system of linear equations you are solving cannot have a
unique solution because the reduced matrix has a row of zeros. Comment on his claim.
The claim is right.
The claim is wrong.