The reduced row echelon form of the matrix A is begin{bmatrix}1 & 2&0 0 & 0&10&0&0 end{bmatrix} Find three different such matrices A. Explain how you determined your matrices.

Tahmid Knox 2020-11-10 Answered
The reduced row echelon form of the matrix A is
[120001000]
Find three different such matrices A. Explain how you determined your matrices.
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Expert Answer

pierretteA
Answered 2020-11-11 Author has 102 answers
Step 1
The given matrix is [120001000]
Multiply the first row by 2 and obtain [240001000]
Multiply the second row by 2 and obtain [120002000]
Step 2
Add first and second row of [120001000] and substitute the result into 3rd row.
That is, [120001121]
Thus, three different such matrices are [240001000],[120002000] and [120001121]
These matrices are obtained by performing some elementary row operations on [120001000]
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Jeffrey Jordon
Answered 2022-01-23 Author has 2064 answers

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