Lat A= and b= . show that the equation Ax=b does not have a solution for some choices of b, and describe the set of all b for which Ax=b does have a solution.
Let A = 
and b = 
. Show that the equation Ax = b does not have a solution for some choices of b, and describe the set of all b for which Ax = b does have a solution.
How can it be shown that the equation Ax = b does not have a solution for some choices of b?
A. Row reduce the augmented matrix [A b] to demonstrate that [A b] has a pivot position in every row
B. Find a vector x for which Ax b is the identity vector
C. Find a vector b for which the solution to Ax b is the identity vector
D. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row
E. Row reduce the matiix A to demonstrate that A has a pivot position in every row
Describe the set of all b for which Ax b does have a solution.
The set of all b for which Ax = b does have a solution is the set of solutions to the equation 0 = _______ b1+b2 (Type an integer or a decimal)
Homework Answers
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Lat A= and b= . show that the equation Ax=b does not have a solution for some choices of b, and describe the set of all b for which Ax=b does have a solution.
1-4 - 31 Let A= 3 and b= Show that the equation Ax=b does not have...
1-4 - 31 Let A= 3 and b= Show that the equation Ax=b does not have a solution for all possible b, and describe the set 4 26 of all b for which Ax=b does have a solution. How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Row reduce the augmented matrix [ a b ] to demonstrate thatſ A b )...
b. - 2 -1 1 and b Let A = Show that the equation Ax =b...
b. - 2 -1 1 and b Let A = Show that the equation Ax =b does not have a solution for all possible b, and -3 0 3 4-2 2 b3 describe the set of all b for which Ax b does have a solution How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Find a vector b for which the...
i need help with the last part on each question. I am not understanding because I...
i need help with the last part
on each question. I am not understanding because I keep getting
those parts incorrect. this is linear algebra
4-3 1 3 Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Ax b Then solve the system and write the solution as a vector A = 1 2 3 17 -4 -2 2 18 Write the augmented matrix for the linear system...
a. Every matrix equation Ax b corresponds to a vector equation with the same solution set....
a. Every matrix equation Ax b corresponds to a vector equation with the same solution set. Choose the correct answer below. O A. False. The matrix equation Ax-b does not correspond to a vector equation with the same solution set. O B. False. The matrix equation Ax b only corresponds to an inconsistent system of vector equations. O c. True. The matrix equation Ax-bis simply another notation for the vector equation x1a1 + x2a2 +·.. + xnan-b, where al ,...
- Consider the matrix equation At = b given by the system 11 2 11 21...
- Consider the matrix equation At = b given by the system 11 2 11 21 + 2:12 + 4.12 + 2.62 13 - 314 = b + 204 = by 13 + 5x4 = 63 + a) Write down the corresponding augmented matrix ( Ab) and use row operations to transform it into a matrix of the form (A b') where the coefficient matrix A' is in reduced row echelon form. (That is, you don't need to put the...
For problems 4) and 5) answer the following (a) Does the equation Ax = 0 have...
For problems 4) and 5) answer the following (a) Does the equation Ax = 0 have a nontrivial solution? (b) Does the equation Ax = b have at least one solution for every possible b? 4) A is a 4 x 4 matrix with three pivot positions. 5) A is a 3 x 2 matrix with two pivot positions.
how to proof A=m*n matrix with pivot positions in every row, then the equation Ax=b will...
how to proof A=m*n matrix with pivot positions in every row, then the equation Ax=b will have a solution for every b element of Rm.
IT a) If one row in an echelon form for an augmented matrix is [o 0 5 o 0 b) A vector bis a linear combination of the columns of a matrix A if and only if the c) The solution set of Ai-b is the set o...
IT a) If one row in an echelon form for an augmented matrix is [o 0 5 o 0 b) A vector bis a linear combination of the columns of a matrix A if and only if the c) The solution set of Ai-b is the set of all vectors of the formu +vh d) The columns of a matrix A are linearly independent if the equation A 0has If A and Bare invertible nxn matrices then A- B-'is the...
show the equation Ax=b does not have a solution for all possible b, and describe the set of all...
A=1 -2 -1-2204 -13andb = b1b2b3
Solve the equation Ax b by using the LU factorization given for A. Also solve Ax...
Solve the equation Ax b by using the LU factorization given for A. Also solve Ax b by ordinary row reduction. 3 -5 1 0 0 3 5 4 4 A = 19 -3 1 3 -1 1 0 0 - 4 1 6 2 -6 2 3 1 0 1 58 - Let Ly b and Ux y. Solve for x and y. y X = Row reduce the augmented matrix [A b] and use it to find x...
1-4 - 31 Let A= 3 and b= Show that the equation Ax=b does not have a solution for all possible b, and describe the set 4 26 of all b for which Ax=b does have a solution. How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Row reduce the augmented matrix [ a b ] to demonstrate thatſ A b )...
b. - 2 -1 1 and b Let A = Show that the equation Ax =b does not have a solution for all possible b, and -3 0 3 4-2 2 b3 describe the set of all b for which Ax b does have a solution How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. O A. Find a vector b for which the...
i need help with the last part
on each question. I am not understanding because I keep getting
those parts incorrect. this is linear algebra
4-3 1 3 Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Ax b Then solve the system and write the solution as a vector A = 1 2 3 17 -4 -2 2 18 Write the augmented matrix for the linear system...
a. Every matrix equation Ax b corresponds to a vector equation with the same solution set. Choose the correct answer below. O A. False. The matrix equation Ax-b does not correspond to a vector equation with the same solution set. O B. False. The matrix equation Ax b only corresponds to an inconsistent system of vector equations. O c. True. The matrix equation Ax-bis simply another notation for the vector equation x1a1 + x2a2 +·.. + xnan-b, where al ,...
- Consider the matrix equation At = b given by the system 11 2 11 21 + 2:12 + 4.12 + 2.62 13 - 314 = b + 204 = by 13 + 5x4 = 63 + a) Write down the corresponding augmented matrix ( Ab) and use row operations to transform it into a matrix of the form (A b') where the coefficient matrix A' is in reduced row echelon form. (That is, you don't need to put the...
For problems 4) and 5) answer the following (a) Does the equation Ax = 0 have a nontrivial solution? (b) Does the equation Ax = b have at least one solution for every possible b? 4) A is a 4 x 4 matrix with three pivot positions. 5) A is a 3 x 2 matrix with two pivot positions.
IT a) If one row in an echelon form for an augmented matrix is [o 0 5 o 0 b) A vector bis a linear combination of the columns of a matrix A if and only if the c) The solution set of Ai-b is the set of all vectors of the formu +vh d) The columns of a matrix A are linearly independent if the equation A 0has If A and Bare invertible nxn matrices then A- B-'is the...
Solve the equation Ax b by using the LU factorization given for A. Also solve Ax b by ordinary row reduction. 3 -5 1 0 0 3 5 4 4 A = 19 -3 1 3 -1 1 0 0 - 4 1 6 2 -6 2 3 1 0 1 58 - Let Ly b and Ux y. Solve for x and y. y X = Row reduce the augmented matrix [A b] and use it to find x...
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