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I don't understand how to get the answer for this question. (1) Consider a CONSISTENT system(defined...
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
Part 3 of 8 - Question 3 of 8 1.0 Points Let A be a 4x5...
Part 3 of 8 - Question 3 of 8 1.0 Points Let A be a 4x5 matrix with rank 2. Then the linear system At = has A. no solution B. a unique solution C. a 1-parameter family of solutions D. a 2-parameter family of solutions E. a 3-parameter family of solutions Part 4 of 8 - Question 4 of 8 1.0 Points If the coefficient matrix of a system of linear equations is square but is not invertible (i.e....
help! I need help with this linear algebra question I had got incorrect. Please explain why...
help! I need help with this linear algebra question I had got
incorrect. Please explain why the answer is the answer
2. (2 points) Suppose the linear system Ac = b has a partitioned matrix that has been reduced 1 1 1 1 0 0 1 1 to 0 0 0 1 Which of the following describes the nature of the solution set of the 0 0 0 0 0 0 0 0 0 0 system? a) no solution b)...
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficie...
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.
Can you please explain how did you arrive to that answer. thanks For each of the...
Can you please explain how did you arrive to that answer.
thanks
For each of the following augmented matrices, decide whether or not the corresponding system has no solution, a unique solution, infinitely many solutions with one parameter or infinitely many solutions with two parameters. -1-2 -1-2 1 -3 4 - H -1-4 -4-2 1 -3 -4 4 1-5 0 -3 -3 -2 0 -4 3 -3 3 0 2 -1 7 2 1 A = B = 0 C...
(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) o...
(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system is is a scalar. (i) consistent with infinitely many solutions; (ii) consistent with one and only one solution; and (ii) inconsistent. 20 marks Solve the system when it is consistent.
(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system...
Hoping to get an answer ASAP the assignment is due pretty soon. Thanks in advance and please show your work. Q6. (10 po...
Hoping to get an answer ASAP the assignment is due pretty soon.
Thanks in advance and please show your work.
Q6. (10 points) Propose an example of a REF of the augmented matrix of a system of 5 equations in 5 variables such that: (a) has a unique solution (b) has infinitely many solutions (b) is inconsistent
Q6. (10 points) Propose an example of a REF of the augmented matrix of a system of 5 equations in 5 variables such...
Ax=O Unique solution (trivial solution x-0) No free variables Infinitely many (nontrivial) solutions Some free variable...
Ax=O Unique solution (trivial solution x-0) No free variables Infinitely many (nontrivial) solutions Some free variables Every column of A is pivot column | (=> rank(A) = # of columns of A Some columns of A are not pivot columns rank(A)< #of columns of A You can use the above figure to answer the following questions are about homogeneous systems Ax-0. Answer TRUE or FALSE. If the answer is FALSE, choose FALSE with the appropriate counterexample, i.e example that shows...
please explain every step. thanks Consider the following system of linear equations ri (a) For what...
please explain every step. thanks
Consider the following system of linear equations ri (a) For what values of r and s is this system of linear equations inconsistent? (b) For what values of and s does this system of linear equations have infinitely many solutions? (ey For what values of and s does this system of linear equations have a unique solution?
Let A e Rmxn. The linear system Ax = b can have either: (i) a unique...
Let A e Rmxn. The linear system Ax = b can have either: (i) a unique solution, (ii) no solution, or (iii) infinitely many solutions. If A is square and invertible, there is a unique solution, which can be written as x = A-'b. The concept of pseudoinverse seeks to generalise this idea to non-square matrices and to cases (ii) and (iii). Taking case (ii) of an inconsistent linear system, we may solve the normal equations AT Ar = Ab...
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
Part 3 of 8 - Question 3 of 8 1.0 Points Let A be a 4x5 matrix with rank 2. Then the linear system At = has A. no solution B. a unique solution C. a 1-parameter family of solutions D. a 2-parameter family of solutions E. a 3-parameter family of solutions Part 4 of 8 - Question 4 of 8 1.0 Points If the coefficient matrix of a system of linear equations is square but is not invertible (i.e....
help! I need help with this linear algebra question I had got
incorrect. Please explain why the answer is the answer
2. (2 points) Suppose the linear system Ac = b has a partitioned matrix that has been reduced 1 1 1 1 0 0 1 1 to 0 0 0 1 Which of the following describes the nature of the solution set of the 0 0 0 0 0 0 0 0 0 0 system? a) no solution b)...
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.
2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.
Can you please explain how did you arrive to that answer.
thanks
For each of the following augmented matrices, decide whether or not the corresponding system has no solution, a unique solution, infinitely many solutions with one parameter or infinitely many solutions with two parameters. -1-2 -1-2 1 -3 4 - H -1-4 -4-2 1 -3 -4 4 1-5 0 -3 -3 -2 0 -4 3 -3 3 0 2 -1 7 2 1 A = B = 0 C...
(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system is is a scalar. (i) consistent with infinitely many solutions; (ii) consistent with one and only one solution; and (ii) inconsistent. 20 marks Solve the system when it is consistent.
(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system...
Hoping to get an answer ASAP the assignment is due pretty soon.
Thanks in advance and please show your work.
Q6. (10 points) Propose an example of a REF of the augmented matrix of a system of 5 equations in 5 variables such that: (a) has a unique solution (b) has infinitely many solutions (b) is inconsistent
Q6. (10 points) Propose an example of a REF of the augmented matrix of a system of 5 equations in 5 variables such...
Ax=O Unique solution (trivial solution x-0) No free variables Infinitely many (nontrivial) solutions Some free variables Every column of A is pivot column | (=> rank(A) = # of columns of A Some columns of A are not pivot columns rank(A)< #of columns of A You can use the above figure to answer the following questions are about homogeneous systems Ax-0. Answer TRUE or FALSE. If the answer is FALSE, choose FALSE with the appropriate counterexample, i.e example that shows...
please explain every step. thanks
Consider the following system of linear equations ri (a) For what values of r and s is this system of linear equations inconsistent? (b) For what values of and s does this system of linear equations have infinitely many solutions? (ey For what values of and s does this system of linear equations have a unique solution?
Let A e Rmxn. The linear system Ax = b can have either: (i) a unique solution, (ii) no solution, or (iii) infinitely many solutions. If A is square and invertible, there is a unique solution, which can be written as x = A-'b. The concept of pseudoinverse seeks to generalise this idea to non-square matrices and to cases (ii) and (iii). Taking case (ii) of an inconsistent linear system, we may solve the normal equations AT Ar = Ab...
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