Math  /  Word Problems

QuestionIdentify if the following matrices are in reduced echelon form, echelon form, or neither: a. [100005000011]\begin{bmatrix}1 & 0 & 0 & 0 \\ 0 & 5 & 0 & 0 \\ 0 & 0 & 1 & 1\end{bmatrix} b. [101101110000]\begin{bmatrix}1 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 0\end{bmatrix} c. [1300001000000001]\begin{bmatrix}1 & 3 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1\end{bmatrix}

Studdy Solution
The leading coefficient in each nonzero row is and all elements in the column above and below a leading are zero. Therefore, matrix c is in reduced echelon form.
In conclusion, matrix a is in echelon form only, matrix b is in echelon form only, and matrix c is in reduced echelon form.

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