The echelon form of a matrix is unique. Choose the correct answer below. 0 A. The statement is false. Both the echelon form and the reduced echelon form of a matrix are unique. They are the same regardless ofthe chosen row operations O B. The statement is false. The echelon form of a matrix is not unique, but the reduced echelon form is unique. Â° C. The statement is true. Neither the echelon form nor the reduced echelon form of a matrix are unique. They depend on the row operations performed. O D. The statement is true. The echelon form of a matrix is always unique, but the reduced echelon form of a matrix might not be unique

Question

Mathematics

Jaeden Benson

20 December, 13:44

The echelon form of a matrix is unique. Choose the correct answer below. 0 A. The statement is false. Both the echelon form and the reduced echelon form of a matrix are unique. They are the same regardless ofthe chosen row operations O B. The statement is false. The echelon form of a matrix is not unique, but the reduced echelon form is unique. Â° C. The statement is true. Neither the echelon form nor the reduced echelon form of a matrix are unique. They depend on the row operations performed. O D. The statement is true. The echelon form of a matrix is always unique, but the reduced echelon form of a matrix might not be unique

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Answers (1)

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Darnell · Answer 1

Answer:B

Step-by-step explanation:

if you look at the two row echlon form you can see that it has leading entries (starting form left) that all one and there are no-zero elements above diagonal which can be any numbers (2,3,4, 6, x, y, x).

However reduced row echelon of has always leading elements 1 and are on diognal, this form is always like this therefore we can infer that reduced row echlon form is always uniqe as oppose to row echelon form.