Question

In: Math

The following matrix is in reduced row echelon form. Decode from the matrix the solution of...

The following matrix is in reduced row echelon form. Decode from the matrix the solution of the corresponding system of linear equations or state that the system is inconsistent. (If the system is dependent assign the free variable the parameter t. If the system is inconsistent, enter INCONSISTENT.)

1 0 5 −4
0 1 −8 10
0 0 0 0
(x1, x2, x3) =

Solutions

Expert Solution


Related Solutions

11. Given a row echelon form or the reduced row echelon form of an augmented matrix...
11. Given a row echelon form or the reduced row echelon form of an augmented matrix of a system of equations, determine the number of solutions the system has.
Is the following matrix in its reduced row echelon form? Explain your judgement.
Is the following matrix in its reduced row echelon form? Explain your judgement. 
for matrices, what is the difference between row reduced echelon form and an upper triangular matrix?
for matrices, what is the difference between row reduced echelon form and an upper triangular matrix?
Find the reduced row echelon form of the following matrices. Interpret your result by giving the...
Find the reduced row echelon form of the following matrices. Interpret your result by giving the solutions of the systems whose augmented matrix is the one given. [ 0 0 3 -1 5 1 0 0 4 2 4 1 3 0 -8 1 2 7 9 0 ]
Write the following matrices into row echelon form.
Exercise1. Write the following matrices into row echelon form.
Exercise1. Write the following matrices into row echelon form.
Exercise1. Write the following matrices into row echelon form.  (a) A=⎛⎜⎝1132−22100474⎞⎟⎠A=(1132−22100474) (c) C=⎛⎜⎝121457210121331578⎞⎟⎠C=(121457210121331578) (b) B=⎛⎜⎝234304131⎞⎟⎠B=(234304131) (d) D=⎛⎜ ⎜ ⎜⎝11111−11−1−1−111−11λλ⎞⎟ ⎟ ⎟⎠
Rank of a Matrix Using the Echelon Form.
Find the Rank of a Matrix Using the Echelon Form of the above matrix.Give details step by step.
Write a Matlab function for a matrix that takes in a matrix in echelon form and...
Write a Matlab function for a matrix that takes in a matrix in echelon form and will return the row canonical form. The function cannot use rref, or any other matlab built in functions.
Given the matrix with rows [1,1,k 1] [1,k,1 1] [k,1,1 -2] Find the reduced row echelon...
Given the matrix with rows [1,1,k 1] [1,k,1 1] [k,1,1 -2] Find the reduced row echelon form of M, and explain how it depends on k. (b) Consider the linear system Ax = b for which the augmented matrix is A b = M. i. For what values of k is the system inconsistent? ii. For what values of k does the system have a unique solution?
1. For both systems below form the augmented matrix, reduce the augmented matrix to echelon form...
1. For both systems below form the augmented matrix, reduce the augmented matrix to echelon form (zeros below the diagonal), and give the solution to the system. (a) x – 2y + z = 0; 2x + 3y – z = 16; 3x – y – 3z = 23. (b) 2x – 3y + z = -3; x + 2y – 5z = -29; 3x – y + 2z = -2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT