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For the matrix A = 40 (a) what two elimination matrices E21 and E32 put A into upper triangular form E32E21A = U? (b) what are L and U for A?

For the matrix A = 40 (a) what two elimination matrices E21 and E32 put A into upper triangular form E32E21A = U? (b) what are L and U for A?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the matrix \[ A = \begin{bmatrix} 1 & 1 & 1 \\ 2 & 4 & 5 \\ 0 & 4 & 0 \end{bmatrix}, \] (a) what two elimination matrices \( E_{21} \) and \( E_{32} \) put \( A \) into upper triangular form \( E_{32}E_{21}A = U \)? (b) what are \( L \) and \( U \) for \( A \)?
Transcribed Image Text:For the matrix \[ A = \begin{bmatrix} 1 & 1 & 1 \\ 2 & 4 & 5 \\ 0 & 4 & 0 \end{bmatrix}, \] (a) what two elimination matrices \( E_{21} \) and \( E_{32} \) put \( A \) into upper triangular form \( E_{32}E_{21}A = U \)? (b) what are \( L \) and \( U \) for \( A \)?
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Apply only row operations to get upper triangular matrix.

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