6. Consider the 3 x 3 matrix B = 1 2 1 0 2 -1 3 5 7 (a) Perform elementary row operations to convert B into upper triangular matrix U. (b) List the elimination matrices E21, E31, and E32 corresponding to row operations in part (a). (c) Compute the matrix M that takes B directly to U ie such that MB = U.

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Chapter2: Second-order Linear Odes
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6. Consider the 3 × 3 matrix B =
2 −1 3
5 7
1
(a) Perform elementary row operations to convert B into upper triangular matrix U.
(b) List the elimination matrices E21, E31, and E32 corresponding to row operations in part (a).
(c) Compute the matrix M that takes B directly to U ie such that MB = U.
Transcribed Image Text:6. Consider the 3 × 3 matrix B = 2 −1 3 5 7 1 (a) Perform elementary row operations to convert B into upper triangular matrix U. (b) List the elimination matrices E21, E31, and E32 corresponding to row operations in part (a). (c) Compute the matrix M that takes B directly to U ie such that MB = U.
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