Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
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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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