Matrix Rank and Nullity Quiz

What is the rank of a matrix if its row echelon form has two leading ones?

• One

• Four

• Two

• Three

How is the nullity of a matrix related to its rank and the number of columns?

• Nullity is the product of rank and number of columns

• Nullity is the quotient of number of columns by rank

• Nullity is the difference between number of columns and rank

• Nullity is the sum of rank and number of columns

What method involves finding a basis for the solution space of a homogeneous system to determine nullity?

• Gaussian elimination

• Old-fashioned method

• Matrix inversion

• Determinant calculation

In the context of nullity, what do free variables represent?

• The number of parameters

• The number of rows

• The number of columns

• The number of leading ones

What is the nullity of a matrix if its rank equals the number of columns?

• One

• Zero

• Three

• Two