Linear Algebra - Rows of a Matrix

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Let M, A, and B be matrices, if MA = B where M is Linear Algebra - Matrix then Row A = Row B.

  • therefore change to row causes no change in row space
  • therefore basis for changed rowlist is also a basis for original rowlist.

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Linear Algebra - Row Space of a matrix

Row space If a matrix is in echelon form, the nonzero rows form a basis for the row space. Applying elementary row-addition operations does not change the row space. To find basis for row...
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Linear Algebra - Row vector (One-row matrix)

A vector is interpreted as a one-column matrix (a column vector) To become aone-row matrices, use transpose to turn a column vector into a row vector.
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Linear Algebra - Row-Addition Matrix

is called an elementary row-addition matrix as: A row-addition matrix is . and are .
Echelon Form
Linear System - Echelon Matrix

The Echelon form is a generalization of triangular matrices. An matrix A is in echelon form if it satisfies the following condition: for any row, if that row’s first nonzero entry is in position...

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