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2. For each part, write a matrix in reduced row echelon with the given properties. Your answers must have at least 2 rows and at least 2 columns. If such a matrix is not possible, state why. (a) Is always solvable and 2 dependent variables. (b) Has a unique solution and columns are spanning. (c) Columns are dependent and the transformation is one-to-one. (d) Has more rows than columns and the transformation is onto.

2. For each part, write a matrix in reduced row echelon with the given properties. Your answers must have at least 2 rows and at least 2 columns. If such a matrix is not possible, state why. (a) Is always solvable and 2 dependent variables. (b) Has a unique solution and columns are spanning. (c) Columns are dependent and the transformation is one-to-one. (d) Has more rows than columns and the transformation is onto.

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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2. For each part, write a matrix in reduced row echelon with the given properties. Your answers must have at least 2 rows and at least 2 columns. If such a matrix is not possible, state why. (a) Is always solvable and 2 dependent variables. (b) Has a unique solution and columns are spanning. (c) Columns are dependent and the transformation is one-to-one. (d) Has more rows than columns and the transformation is onto.
Transcribed Image Text:2. For each part, write a matrix in reduced row echelon with the given properties. Your answers must have at least 2 rows and at least 2 columns. If such a matrix is not possible, state why. (a) Is always solvable and 2 dependent variables. (b) Has a unique solution and columns are spanning. (c) Columns are dependent and the transformation is one-to-one. (d) Has more rows than columns and the transformation is onto.
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