Wildhorses2740 Wildhorses2740
  • 20-02-2020
  • Physics
contestada

Consider matrices in R 3×5 . What is the maximum possible number of linearly independent column vectors?

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zohazoee
zohazoee zohazoee
  • 23-02-2020

Answer:

if a matrix 3 x 5 it does not imply that the column vector are linearly independent.

Explanation:

A 3 x 5 matrix represents a linear map [tex]R^5 to R^3[/tex]. we have 5 columns vectors of [tex]R^3[/tex]. they can never be linearly independent because the dimension of [tex]R^3[/tex] is 3.

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