Nullity of a Matrix: Find the Answer

[student444]

Hello.

A matrix has 5 columns.

One of the columns is all zeros.

Two of the columns have leading ones.

So the remaining 2 are linearly dependent in the matrix.

My question is. What is the nullity of the matrix?

My book would say 3 BUT the dimension of the null space is this matrix is 2 right?

So shouldn't the nullity be 2?

Thanks

 

[DonAntonio]

Hello.

A matrix has 5 columns.

One of the columns is all zeros.

Two of the columns have leading ones.

So the remaining 2 are linearly dependent in the matrix.

My question is. What is the nullity of the matrix?

My book would say 3 BUT the dimension of the null space is this matrix is 2 right?

So shouldn't the nullity be 2?

Thanks

It's hard to understand what you really mean, in particular because of that odd "so" and what follows in the 4th row.

Why don't you better post the actual matrix or at least tell us what book is that and in what page is the problem?

DonAntonio