Suppose matrix
has
rows and
columns, with

. Then the columns of
are linearly dependent.

Name: Suppose matrix has rows and columns, with . Then the columns of are linearly dependent.
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Question

Suppose matrix 
  has 
  rows and 
  columns, with 
  
. Then the columns of 
  are linearly dependent.

Quizplus · Accepted Answer

A matrix with more columns than rows cannot have linearly independent columns. Therefore, if the original matrix has more columns than rows, the columns of its transpose (which would be the rows of the new matrix) must be linearly dependent.

Suppose Matrix Has