**Question:**Which of the following matrices is in *reduced row echelon form*?**Matrices:**(A)\[\begin{bmatrix}1 & 0 & -1 & 1 \\0 & 1 & 2 & 0 \\0 & 1 & 3 & 1 \\\end{bmatrix}\](B)\[\begin{bmatrix}1 & 0 & 2 & 5 \\0 & 1 & -7 & 5 \\0 & 0 & 1 & 14 \\\end{bmatrix}\](C)\[\begin{bmatrix}1 & 0 & 0 & 11 & -3 \\0 & 0 & 1 & 4 \\\end{bmatrix}\](D)\[\begin{bmatrix}1 & 0 & -5 \\0 & 1 & 3 \\0 & 0 & 0 \\\end{bmatrix}\]**Options:**- ○ A. A- ○ B. B- ○ C. C- ○ D. D**Explanation:**The problem requires identifying which matrix is in reduced row echelon form (RREF). A matrix is in RREF if it satisfies the following conditions:1. The leading entry of each nonzero row is 1.2. Each leading 1 is the only nonzero entry in its column.3. The leading 1 in any row is to the right of the leading 1 in the previous row.4. Rows with all zeroes, if any, are at the bottom of the matrix.Option (B) satisfies these conditions with a clear staircase pattern and leading 1s, and no nonzero entries elsewhere in their columns.

Answered: Which of the following matrices is in…

Which of the following matrices is in reduced row echelon form? 1 0 -1 2 1 3 (A) 0 1 0 0 [1 02 5 (B) 0 1 -7 5 0 0 1 14 (C) 1 0 0 11 0 001 [₁ 1 0 -5 (D) 0 1 3 00 0

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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$To determine which of the following matrices is in reduced row echelon form . (A) [\begin{matrix} 1 & 0 & - 1 & 1 \\ 0 & 1 & 2 & 0 \\ 0 & 1 & 3 & 1 \end{matrix}] (B) [\begin{matrix} 1 & 0 & 2 & 5 \\ 0 & 1 & - 7 & 5 \\ 0 & 0 & 1 & 14 \end{matrix}] (C) [\begin{matrix} 1 & 0 & 0 & 11 & - 3 \\ 0 & 0 & 0 & 1 & 14 \end{matrix}] (D) [\begin{matrix} 1 & 0 & - 5 \\ 0 & 1 & 3 \\ 0 & 0 & 0 \end{matrix}]$

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