Answer:
Largest possible rank =6
Minimum possible rank=0
Step-by-step explanation:
We are given that A is a matrix of order [tex] 6\times 9 [/tex]
We have to find the maximum possible rank and minimum possible rank of A.
In given matrix we have 6 rows and 9 columns.
Rank: Rank is defined as the number of non zero rows or columns of matrix and any row or column is not a linear combination of other two or more rows or columns
Rank of matrix of order [tex] m\times n [/tex]
Where m< n
Then largest possible rank is m
We are given a matrix of order[tex]6\times 9[/tex] where 6< 9
Therefore, the largest possible rank is 6.
The minimum possible rank is zero because a given matrix can be zero matrix therefore, the rank of zero matrix is zero.
Largest possible rank =6
Minimum possible rank=0
