Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

https://brainly.com/question/28180105

#SPJ4

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.