Question

2. Illustrate the definition of rank and its characterization by column
vectors with a 4 x 5 matrix of rank 2 of your choice.

Answer 1

Answer:

The maximum number of linearly independent rows in a matrix A is called the row rank of A, and the maximum number of linarly independent columns in A is called the column rank of A. If A is an m by n matrix, that is, if A has m rows and n columns, then it is obvious that