Question
There exists infinite many solutions of a system of equations, if: 1) number of variables is...
There exists infinite many solutions of a system of equations, if:
1) number of variables is less than number of non zero rows in augmented matrix
2) None
3) number of non zero rows in augmented matrix is less than number of variables
4) number of non zero rows and number of variables are equal
Which one is correct?
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
The augmented matrix represents a system of linear equations in the variables x and y. [1...
The augmented matrix represents a system of linear equations in
the variables x and y.
[1 0 5. ]
[0 1 0 ]
(a) How many solutions does the system have: one, none, or
infinitely many?
(b) If there is exactly one solution to the system, then give
the solution. If there is no solution, explain why. If there are an
infinite number of solutions, give two solutions to the system.
The system of equations may have a unique solution, an infinite number of solutions, or no...
The system of equations may have a unique solution, an infinite
number of solutions, or no solution. Use matrices to find the
general solution of the system, if a solution exists. (If there is
no solution, enter NO SOLUTION. If there are infinitely many
solutions, express your answers in terms of z as in
Example 3.)
3x
?
2y
+
5z
=
11
2x
?
3y
+
4z
=
8
Please give examples of matrices which (1) is an augmented matrix of a linear system which...
Please give examples of matrices which
(1) is an augmented matrix of a linear system which 3 equations
and 3 variables.
(2) is an augmented matrix of a linear system which 3 equations
and 3 variables and all variables should be presented.
(3) is an augmented matrix of a linear system which 3 equations
and 3 variables and one of the variables is not presented.
(4) is an augmented matrix of a linear system which is
inconsistent. (5) is an...
Please give examples of linear systems which (1) has 4 variables and 2 equations. (2) has...
Please give examples of linear systems which
(1) has 4 variables and 2 equations.
(2) has 4 variables and 2 equations and is inconsistent.
(3) has 4 variables and 2 equations and has exactly one
solution.
(4) has 4 variables and 2 equations and has infinite many
solutions
Use Gaussian elimination to find the complete solution to the following system of equations, or show...
Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{5x + 17y + 7z = 14
{2x + 7y -5z = -3
{ x + 3y - 3z = 8
Find the row-echelon form of the matrix for the given system of
equations. (Do not include the vertical bar in the
augmentedmatrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice.
A....
Use Gaussian elimination to find the complete solution to the following system of equations, or show...
Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{-x + y + z = -2
{-x + 5y -19z = -30
{ 7x - 5y - 17z = 0
Find the row-echelon form of the matrix for the given system of
equations. (Do not include the vertical bar in the augmented
matrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice....
Use Gaussian elimination to find the complete solution to the following system of equations, or show...
Use Gaussian elimination to find the complete solution to the
following system of equations, or show that none exists.
{-x + y + z = -1
{-x + 5y -15z = -29
{ 7x - 6y - 11z = 0
Find the row-echelon form of the matrix for the given system of
equations.
(Do not include the vertical bar in the augmented matrix.)
Select the correct choice below and, if necessary, fill in the
answer boxes to complete your choice....
Solve the system of linear equations. If the system has an infinite number of solutions, set...
Solve the system of linear equations. If the system has an
infinite number of solutions, set w = t and solve for x, y, and z
in terms of t.)
x + y + z + w = 6
2x+3y - w=6
-3x +4y +z + 2w= -1
x + 2y - z + w = 0
x, y, z, w=?
Solve this system of equations −2x−3y=−17 −3x+2y=−6 One solution: No solution Infinite number of solutions
Solve this system of equations
−2x−3y=−17
−3x+2y=−6
One solution:
No solution
Infinite number of solutions
The augmented matrix below represents a system of linear equations associated with a real world prob-...
The augmented matrix below represents a system of linear
equations associated with a real world prob-
lem. The augmented matrix has already been completely row
reduced.
1 0 6 12 0 1 −2 0 0000
(a) Use the reduced matrix to write down the parametric solution
for the system as a point (x, y, z).
(b) Assuming that x, y, and z represent the number of whole
items, determine how many “actual” solutions this system has, and...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 2 minutes ago
asked 4 minutes ago
asked 31 minutes ago
asked 33 minutes ago
asked 54 minutes ago
asked 59 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago