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Hello, I need some assistance with this precalculus question, please?HW Q4

Hello, I need some assistance with this precalculus question, please?HW Q4-example-1
User PolyGeo
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1 Answer

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Step-by-step explanation

A matrix in row echelon form is a matrix that is the result of a process of Gaussian elimination. This means that operations were performed over the rows of a previous matrix until all the coefficients below its main diagonal were 0.

A matrix in reduced row echelon form meets a few properties:

- The leading entry of each non zero row (i.e. the first non-zero number counting from the left) has to be 1.

- Each column containing a leading entry 1 must have zeros in all of its other entries.

A 2x2 matrix that meets all these properties (i.e. is written in reduced row echelon form) will then look like this:

Where a and b can be any number.

Answer

As you can see there's only one option with a matrix that has the same form as the one I wrote above, option D. Then the answer is option D.

Hello, I need some assistance with this precalculus question, please?HW Q4-example-1
User Shawn Holmes
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