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Part 7 of 8 - Question 7 of 8 1.0 Points , find det A. [100...
Part 7 of 8 - Question 7 of 8 1.0 Points , find det A. [100 If A = 0 1 2 O 34 ОАО OB. 2 O C. -2 O D. 10 O E. not defined Reset Selection Part 8 of 8 - Question 8 of 8 1.0 Points 2] [100] 5 and C= 0 0 2 . Which of these matrices have determinant zero? 0 30 [171] -1 0 Consider the matrices A= 3 0 3 , B=...
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...
linear algebra 1 2. Let A be the 3 x 3 matrix: A= 3 3 0...
linear algebra
1 2. Let A be the 3 x 3 matrix: A= 3 3 0 -4 1-3 5 1 (a) Find det(A) by hand. (b) What can you say about the solution(s) to the linear system Az = ? A. No Solutions B. Unique Solution C. Infinitely Many Solutions (c) Is A invertible?
I don't understand how to get the answer for this question. (1) Consider a CONSISTENT system(defined...
I don't understand how to get the answer for this question.
(1) Consider a CONSISTENT system(defined over R) of 7 linear equations in 5 variables. If the definitely true? rank of the coefficient matrix is 4, which of the following statements is A. no solution B. a unique solution C. infinitely many solutions with three free variables D. infinitely many solutions with one free variable E. either no solution or infinitely solutions
(1) Consider a CONSISTENT system(defined over R) of...
Write each statement as True or False (a) If an (nx n) matrix A is not invertible then the linear system Ax-O hns infinitely many b) If the number of equations in a linear system exceeds the number o...
Write each statement as True or False (a) If an (nx n) matrix A is not invertible then the linear system Ax-O hns infinitely many b) If the number of equations in a linear system exceeds the number of unknowns then the system 10p solutions must be inconsistent ) If each equation in a consistent system is multiplied through by a constant c then all solutions to the new system can be obtained by multiplying the solutions to the original...
Q3 (8 points) In the following A is a 3 × 4 matrix (3 rows, 4...
Q3 (8 points) In the following A is a 3 × 4 matrix (3 rows, 4 columns) and the coefficient matrix of a system of linear equations. A. Find an example of such a matrix A and a vector b such that the system with augmented matrix [A | b] has no solution. Justify your answer. B. Find an example of such a matrix A and a vector b such that the system with augmented matrix [A | b] has...
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...
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing ...
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing system of equations have no solution, exactly one solution, infinitely many solutions (a + 2)y + (a2-4)2 = (0-2) (b) If A = 4-1 0 a 2b a a be the augmented matrix of a linear system of equations then evaluate the values of a and b for which the linear system has no solution? exactly one solution? one parameter solution? two parameter...
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...
Question 1 of 8 1.0 Points 11 [100] [o 1 1] , B= 0 1 2...
Question 1 of 8 1.0 Points 11 [100] [o 1 1] , B= 0 1 2 and C = 0 1 2. Which of 10 3 4 10 3 4] Consider the matrices A= 3 4 these matrices is/are invertible? O A. All of them O B. A and B only O C. A and C only OD. B and C only O E. None of them Reset Selection Part 2 of 7 - Question 2 of 8 1.0 Points...
Part 7 of 8 - Question 7 of 8 1.0 Points , find det A. [100 If A = 0 1 2 O 34 ОАО OB. 2 O C. -2 O D. 10 O E. not defined Reset Selection Part 8 of 8 - Question 8 of 8 1.0 Points 2] [100] 5 and C= 0 0 2 . Which of these matrices have determinant zero? 0 30 [171] -1 0 Consider the matrices A= 3 0 3 , B=...
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...
linear algebra
1 2. Let A be the 3 x 3 matrix: A= 3 3 0 -4 1-3 5 1 (a) Find det(A) by hand. (b) What can you say about the solution(s) to the linear system Az = ? A. No Solutions B. Unique Solution C. Infinitely Many Solutions (c) Is A invertible?
I don't understand how to get the answer for this question.
(1) Consider a CONSISTENT system(defined over R) of 7 linear equations in 5 variables. If the definitely true? rank of the coefficient matrix is 4, which of the following statements is A. no solution B. a unique solution C. infinitely many solutions with three free variables D. infinitely many solutions with one free variable E. either no solution or infinitely solutions
(1) Consider a CONSISTENT system(defined over R) of...
Write each statement as True or False (a) If an (nx n) matrix A is not invertible then the linear system Ax-O hns infinitely many b) If the number of equations in a linear system exceeds the number of unknowns then the system 10p solutions must be inconsistent ) If each equation in a consistent system is multiplied through by a constant c then all solutions to the new system can be obtained by multiplying the solutions to the original...
Q3 (8 points) In the following A is a 3 × 4 matrix (3 rows, 4 columns) and the coefficient matrix of a system of linear equations. A. Find an example of such a matrix A and a vector b such that the system with augmented matrix [A | b] has no solution. Justify your answer. B. Find an example of such a matrix A and a vector b such that the system with augmented matrix [A | b] has...
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...
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing system of equations have no solution, exactly one solution, infinitely many solutions (a + 2)y + (a2-4)2 = (0-2) (b) If A = 4-1 0 a 2b a a be the augmented matrix of a linear system of equations then evaluate the values of a and b for which the linear system has no solution? exactly one solution? one parameter solution? two parameter...
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...
Question 1 of 8 1.0 Points 11 [100] [o 1 1] , B= 0 1 2 and C = 0 1 2. Which of 10 3 4 10 3 4] Consider the matrices A= 3 4 these matrices is/are invertible? O A. All of them O B. A and B only O C. A and C only OD. B and C only O E. None of them Reset Selection Part 2 of 7 - Question 2 of 8 1.0 Points...
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