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.
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