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I bet it can be done, but I'll be darned if I can!

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Q: How can you identify a dependent or inconsistent system by looking at an augmented matrix in reduced row echelon form?
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How do you find rank of a matrix?

First, You have to reduce the matrix to echelon form . The number of nonzero rows in the reduced echelon form matrix (number of linearly independent rows) indicates the rank of the matrix. Go to any search engine and type "Rank of a matrix, Cliffnotes" for an example.


How do you know when an equation has a unique solution?

You know when an equation has a unique solution when there is only one variable in it. (APOLOGIES)(RESPONSE: the question was categorized under "Linear Algebra". x^2 is non-linear and is thus not allowed, nor are sin x, x^3, log x, 2^x, etc etc. However, you are correct if you consider non-linear equations. Unfortunately, I am not sure there is a method to determine the number of solutions to non-linear equation.)If there are more than one variable, each variable over the first will be free, and give you infinite solutions - with each additional variable adding another dimension to your solution.(RESPONSE: See above response with regards to this topic being categorized under "Linear Algebra". My statement is true in Linear Algebra. Furthermore, Row Reduced Echelon Form and augmented matrices are the most fundamental concepts in Linear Algebra. Under normal circumstances, I would agree with you. However, this question was categorized under "Linear Algebra", so I presumed that the person asking the question is a college student.)In general, you know that a system of equations has a unique solution when the row reduced echelon form of the augmented matrix has a pivot position in every column, except for the right most column which is the solution. If you do not have an augmented matrix, then the RREF will have a pivot position in every column.


Which of the following 33 matrices are in reduced row-echelon form?

1 1 1 1 2 2 2 2 3 3 3 3


What is it when the first nonzero entry in each row of a matrix is one?

Nothing particular if all the 1s are in the first column, for example. You could have an echelon matrix, but with the information given, it is hard to tell.


What Is the verb form for example?

Your word is: "Exemplify" ! Let's try it out in a sentence: "Deep romantic love is best exemplified by Dinie Slothouber's love for Mitch Longley." "The Echelon Towers exemplifies a very poorly run senior living community."

Related questions

How can you identify a dependent or inconsistent system by looking at an augmented matrix in reduced row-echelon form?

And your question is......................?


What is echelon above corp?

The man was in the upper echelon of society


When was Echelon Song created?

Echelon Song was created in 1933.


When was Echelon Corporation created?

Echelon Corporation was created in 1988.


IF you need to solve large systems with more than three variables which method is more efficient and why?

For systems with more than three equations, Gaussian elimination is far more efficient. By using Gaussian elimination we bring the augmented matrix into row-echelon form without continuing all the way to the reduced row-echelon form. When this is done, the corresponding system can be solved by the back-substitution technique.


What is the duration of Echelon Conspiracy?

The duration of Echelon Conspiracy is 1.75 hours.


When did Echelon - flight simulator - happen?

Echelon - flight simulator - happened in 2001.


When was Echelon Conspiracy created?

Echelon Conspiracy was created on 2009-02-27.


What is the symbol for Echelon Corporation in NASDAQ?

The symbol for Echelon Corporation in NASDAQ is: ELON.


In what year did Echelon Corporation - ELON - have its IPO?

Echelon Corporation (ELON) had its IPO in 1998.


What is the birth name of Sage Echelon?

Sage Echelon's birth name is Tia Reed.


When was Echelon - flight simulator - created?

Echelon - flight simulator - was created in 2001-03.