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if there is a matrix, which is 3x8, and 3 columns are linear dependent, then can it be full rank? if not, what rank is it?

Sagot :

The matrix 3 x 8 is a full rank matrix.

Matrix:

Matrix are a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

Full rank matrix:

The rank of a matrix is the maximum number of its linearly independent rows.

Based on that, A full rank matrix is one which has linearly independent rows or/and linearly independent columns.

Given,

There is a matrix, which is 3x8, and 3 columns are linear dependent

Her we need to check whether the matrix is full rank or not.

We know that, the matrix is 3 x 8,

And 3 column are linear dependent,

Based on the following condition,

An  m×n  matrix with  m<n , then it has full rank when its m are linearly independent.

So, the given matrix 3 x 8 is the full rank matrix.

To know more about Matrix here

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