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Consider the matrix: 1 2 4 A = 2 5 -2 -1 2 1 (a) Reduce A to upper triangular form using elimination steps. (b) Write down the matrices E21, E31, E32 that turn A into triangular form. (c) Write down the matrix E such that EA is upper triangular.
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Transcribed Image Text:Consider the matrix: 1 2 4 A = 2 5 -2 -1 2 1 (a) Reduce A to upper triangular form using elimination steps. (b) Write down the matrices E21, E31, E32 that turn A into triangular form. (c) Write down the matrix E such that EA is upper triangular.
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Solution:

 

Given matrix is as follows:

 

12425-2-121

 

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