What solutions are represented by the following augmented matrix? a. b. there are no solutions c....
What solutions are represented by the following augmented matrix?
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there are no solutions |
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Homework Answers
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What solutions are represented by the following augmented
matrix?
a.
b.
there are no solutions
c....
Find the solution set of the system of linear equations represented by the augmented matrix. (If...
Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set X3 = t and solve for X1 and X2 in terms of t.) 2 1-1 o] 1 -1 1 0 0 12 3
of the linear system whose augmented matrix is the matrix (b) Find all solutions (in vector...
of the linear system whose augmented matrix is the matrix (b) Find all solutions (in vector form ſi 0-5 -6 0 77 B = 0 1 4 -1 0 2 . 0 0 0 0 1 -3
3. Find the general solutions of the system whose augmented matrix is [ 1 0 2...
3. Find the general solutions of the system whose augmented matrix is [ 1 0 2 0 1 ( 3 0 6 10 ] (a) It's inconsistent (b) 21 = -213, 12 and 13 are free (c) x1 = -212, 12 and 3 are free (d) 2 is free, 22 = 0, 13 = 3 (e) none of these
1. For each of the following systems of linear equations, find: • the augmented matrix •...
1. For each of the following systems of linear equations, find: • the augmented matrix • the coefficient matrix • the reduced row echelon form of the augmented matrix • the rank of the augmented matrix • all solutions to the original system of equations Show your work, and use Gauss-Jordan elimination (row reduction) when finding the reduced row echelon forms. (b) 2 + 2x W 2w - 2y - y + y + 3z = 0 = 1 +...
1. Consider the following augmented matrix of a system of linear equations: [1 1 -2 2...
1. Consider the following augmented matrix of a system of linear equations: [1 1 -2 2 3 1 2 -2 2 3 0 0 1 -1 3 . The system has 0 0 -1 2 -3 a) a unique solution b) no solutions c) infinitely many solutions with one free variable d) infinitely many solutions with two variables e) infinitely many solutions with three variables
W20 oubam Part 2/4/lusershutch2&key ASH2NAPVIEM1OtqwdE9OGPRwNdueffectiveUsershutch (5 points) Solve the following system using augmented matrix methods -121,...
W20 oubam Part 2/4/lusershutch2&key ASH2NAPVIEM1OtqwdE9OGPRwNdueffectiveUsershutch (5 points) Solve the following system using augmented matrix methods -121, +63+ 121, --18 -21, +lx, +213 = -3 -121, +6x, + 121, --18 (a) The initial matrex is (b) First, perform the Row Operation R, R, The resulting matrix is (c) Next perform the operations +2R₂ + R₂ R₂ +12R, R R The resulting matris (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is: Remember. This matrix...
6. Find the solution set of the system of linear equations represented by the augmented matrix....
6. Find the solution set of the system of linear equations represented by the augmented matrix. To 1 -1 0 2 1 0 2 -1 0 1 2 0 -1 4]
Determine the value(s) of h such that the matrix is the augmented matrix of a co...
Determine the value(s) of h such that the matrix is the augmented matrix of a co 1 3 -3 4 h-12 Select the correct choice below and, if necessary, fill in the answer box to complet The matrix is the augmented matrix of a consistent linear system ifi (Use a comma to separate answers as needed. Type an integer or a simpit The matrix is the augmented matrix of a consistent inear system if (Use a comma to separate answers...
Determine the value(s) of h such that the matrix is the augmented matrix of a consistent...
Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. h 2 -5 15 - 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix is the augmented matrix of a consistent linear system if h* (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The matrix is the augmented matrix of a consistent...
Convert the given linear system to an augmented matrix and then find all solutions. Write the...
Convert the given linear system to an augmented matrix and then find all solutions. Write the solutions in parametric form. 2x1 + 6x2 − 9x3 − 4x4 = 0 −3x1 − 11x2 + 9x3 − x4 = 0 x1 + 4x2 − 2x3 + x4 = 0
Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set X3 = t and solve for X1 and X2 in terms of t.) 2 1-1 o] 1 -1 1 0 0 12 3
of the linear system whose augmented matrix is the matrix (b) Find all solutions (in vector form ſi 0-5 -6 0 77 B = 0 1 4 -1 0 2 . 0 0 0 0 1 -3
3. Find the general solutions of the system whose augmented matrix is [ 1 0 2 0 1 ( 3 0 6 10 ] (a) It's inconsistent (b) 21 = -213, 12 and 13 are free (c) x1 = -212, 12 and 3 are free (d) 2 is free, 22 = 0, 13 = 3 (e) none of these
1. For each of the following systems of linear equations, find: • the augmented matrix • the coefficient matrix • the reduced row echelon form of the augmented matrix • the rank of the augmented matrix • all solutions to the original system of equations Show your work, and use Gauss-Jordan elimination (row reduction) when finding the reduced row echelon forms. (b) 2 + 2x W 2w - 2y - y + y + 3z = 0 = 1 +...
1. Consider the following augmented matrix of a system of linear equations: [1 1 -2 2 3 1 2 -2 2 3 0 0 1 -1 3 . The system has 0 0 -1 2 -3 a) a unique solution b) no solutions c) infinitely many solutions with one free variable d) infinitely many solutions with two variables e) infinitely many solutions with three variables
W20 oubam Part 2/4/lusershutch2&key ASH2NAPVIEM1OtqwdE9OGPRwNdueffectiveUsershutch (5 points) Solve the following system using augmented matrix methods -121, +63+ 121, --18 -21, +lx, +213 = -3 -121, +6x, + 121, --18 (a) The initial matrex is (b) First, perform the Row Operation R, R, The resulting matrix is (c) Next perform the operations +2R₂ + R₂ R₂ +12R, R R The resulting matris (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is: Remember. This matrix...
6. Find the solution set of the system of linear equations represented by the augmented matrix. To 1 -1 0 2 1 0 2 -1 0 1 2 0 -1 4]
Determine the value(s) of h such that the matrix is the augmented matrix of a co 1 3 -3 4 h-12 Select the correct choice below and, if necessary, fill in the answer box to complet The matrix is the augmented matrix of a consistent linear system ifi (Use a comma to separate answers as needed. Type an integer or a simpit The matrix is the augmented matrix of a consistent inear system if (Use a comma to separate answers...
Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. h 2 -5 15 - 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix is the augmented matrix of a consistent linear system if h* (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The matrix is the augmented matrix of a consistent...
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