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Reduced echelon form - PowerPoint PPT Presentation

Reduced echelon form

Reduced echelon form. Because the reduced echelon form of A is the identity matrix, we know that the columns of A are a basis for R 2. Return to outline. Matrix equations. Because the reduced echelon form of A is the identity matrix: . Return to outline. Return to outline.

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Example: Given a matrix defining a linear mapping Find a basis for the null space and a basis for the range

Example: Given a matrix defining a linear mapping Find a basis for the null space and a basis for the range. Pamela Leutwyler. Let M be the matrix for the linear mapping T ( ie: ). Let M be the matrix for the linear mapping T

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NICE LOOKING MATRICES

NICE LOOKING MATRICES. By now it shoud be clear that matrices are the backbone (computationally at least) of the attempt to solve linear systems, or, even more precisely, the attempt to decide which one of the three possibilities outlined previously obtains. Recall them A linear system may

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Chapter 3

Chapter 3. Section 3.5 Dimension. Dimension of a Subspace

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Reduced echelon form - PowerPoint PPT Presentation

Reduced echelon form

Example: Given a matrix defining a linear mapping Find a basis for the null space and a basis for the range

NICE LOOKING MATRICES

Chapter 3