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We will say that the columns of X are linearly independent if Xv = 0 implies v = 0....
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High School Teacher
Let A is the square matrix of order n. If column of matrix A is linearly dependent then rank of the matrix A will be less than n. But we know matrix is invertible if rank of the matrix equal to the order of the matrix i.e.
Therefore matrix A is non invertble i.e. `A^(-1)` does not exist.
Posted by aruv on October 3, 2013 at 6:44 AM (Answer #1)
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