please give examples of four row equivalent matrices which are all in row echelon forms (not...

please give examples of four row equivalent matrices which are all in row echelon forms (not necessarly reduced row echelon)

Expert Solution

Colby Messinger answered 2 years ago

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⎞⎟ ⎟ ⎟⎠

explain why a matrice can have many row echelon forms

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 ]

Suppose R and R0 are 2 ⇥ 3 row-reduced echelon matrices and that the systems RX...

Suppose R and R0 are 2 ⇥ 3 row-reduced echelon matrices and that the systems RX = 0 and R’X = 0 have exactly the same solutions. Prove that R = R’ .

for matrices, what is the difference between row reduced echelon form and an upper triangular matrix?

prove the following statement: If the augmented matrices of two linear systems are row equivalent, then...

prove the following statement: If the augmented matrices of two linear systems are row equivalent, then those systems are equivalent. (To do this, start with a solution to one of the systems and show that it is still a solution of the other system under each of the three elementary row operations.)

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please give examples of four row equivalent matrices which are all in row echelon forms (not...

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