Asked by kirsten
I just want to make sure my reasoning is correct.
Let A be a 7X3 matrix whose rank is 3
a)are the rows of A linearly dependent or independent?
I said dependent because a matrix whose rank is 3 means the row rank is 3, but if there are 7 rows then they have to be dependent on each other
b)are the columns of A linearly dependent or independent?
I said independent because the column rank would be 3 and there are 3 columns
is this reasoning enough to justify my answer?
Let A be a 7X3 matrix whose rank is 3
a)are the rows of A linearly dependent or independent?
I said dependent because a matrix whose rank is 3 means the row rank is 3, but if there are 7 rows then they have to be dependent on each other
b)are the columns of A linearly dependent or independent?
I said independent because the column rank would be 3 and there are 3 columns
is this reasoning enough to justify my answer?
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