Math Matrix

3. Another word for null-space.
4. The diagonal crossing scheme for ________ with entries from R^3 is called Sarrus rule.
6. Another word for linear hull.
8. The complete information about a linear mapping is already contained in the _______ of the basis vectors.

1. The determinant is linear in each row.
2. The ______ of a basis is called the dimension of the vector space
4. If a determinate of vectors equals to zero then the n-tuple is linearly _________.
5. A _______ of a vector space V is a minimal spanning system; taking away only one basis element leads to the existence of infinitely many vectors in V that can no longer be constructed as a linear combination of the remaining elements.
7. The maximal number of linearly independent columns of A is called the column-___________.