[ 1 -2 4 Let A = 1 -4 Is the matrix A in row echelon form? Yes Is the matrix A in reduced row echelon form? Yes 1 0 Let B = 1 -4 0 0 Is the matrix B in row echelon form? No Is the matrix B in reduced row echelon form? No 1 4 Let C = -2 1 -4 0 0 Is the matrix C in row echelon form? No Is the matrix C in reduced row echelon form? Yes
[ 1 -2 4 Let A = 1 -4 Is the matrix A in row echelon form? Yes Is the matrix A in reduced row echelon form? Yes 1 0 Let B = 1 -4 0 0 Is the matrix B in row echelon form? No Is the matrix B in reduced row echelon form? No 1 4 Let C = -2 1 -4 0 0 Is the matrix C in row echelon form? No Is the matrix C in reduced row echelon form? Yes
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let \( A = \begin{bmatrix} 1 & -2 & 4 \\ 0 & 1 & -4 \\ 0 & 0 & 0 \end{bmatrix} \)
Is the matrix \( A \) in row echelon form? Yes
Is the matrix \( A \) in reduced row echelon form? Yes
Let \( B = \begin{bmatrix} 1 & 0 & 4 \\ 0 & 1 & -4 \\ 0 & 0 & 0 \end{bmatrix} \)
Is the matrix \( B \) in row echelon form? No
Is the matrix \( B \) in reduced row echelon form? No
Let \( C = \begin{bmatrix} 1 & 0 & 4 \\ -2 & 1 & -4 \\ 0 & 0 & 0 \end{bmatrix} \)
Is the matrix \( C \) in row echelon form? No
Is the matrix \( C \) in reduced row echelon form? Yes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31330aa5-a64b-4d2f-80e6-6ea74abb2a34%2F29f87fca-601f-45af-852a-22c8f9c44c0f%2Fij2rhud_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( A = \begin{bmatrix} 1 & -2 & 4 \\ 0 & 1 & -4 \\ 0 & 0 & 0 \end{bmatrix} \)
Is the matrix \( A \) in row echelon form? Yes
Is the matrix \( A \) in reduced row echelon form? Yes
Let \( B = \begin{bmatrix} 1 & 0 & 4 \\ 0 & 1 & -4 \\ 0 & 0 & 0 \end{bmatrix} \)
Is the matrix \( B \) in row echelon form? No
Is the matrix \( B \) in reduced row echelon form? No
Let \( C = \begin{bmatrix} 1 & 0 & 4 \\ -2 & 1 & -4 \\ 0 & 0 & 0 \end{bmatrix} \)
Is the matrix \( C \) in row echelon form? No
Is the matrix \( C \) in reduced row echelon form? Yes
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