Linear Algebra Example Problems - Matrix Row Space Basis and Dimension

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The row space of a matrix consists of all linear combinations of the matrices rows. In this video we show how to to find a basis to describe this subspace.

Simply perform row operations on A to obtain a reduced echelon form of the matrix. Identify any rows that AREN'T all zeros. These non-zero rows then form the basis vectors for the row space of the original matrix.

  1. Adam Panagos
  2. matrix row space dimension
  3. how to find row space basis
  4. matrix row space basis
  5. row space basis
  6. row space basis and column space basis
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Комментарии
Автор

this was exactly what i needed to get through my homework, thanks so much

disaster
Автор

why do you take rows out of the rref of A for the row space but the columns of A for the column space?

stijndhondt
Автор

Why in your Column basis video, you take the basis of the original matrix A but in this one you take the row basis from the equvi. of A?

brittanielaird
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thanks bud, very clear. all the best.

romaion
Автор

How do we know that the non zero rows are linearly independent?

Zuwwar