A matrix has determinant zero if and only if it is ...
singular
invertible
square
diagonal
A matrix which represents a linear transformation \(T: \mathbb{R}^2 \to \mathbb{R}^3\) has dimensions ...
2x3
3x2
2x3 or 3x2
3x3
2x2
2x2 or 3x3
There is no matrix representation for such a transformation.
A linear system of two equations with three unknowns could have ...
no solutions
exactly one solution
infinitely many solutions
Which of the following are possible values for the rank of a 3x5 matrix?
1
3
4
5
8
15
Which of the following are elementary row operations?
Multiplying each entry in the row by a nonzero constant
Interchanging the position of two rows
Replacing a row with the sum of itself and a multiple of another row
Rearranging the order of the entries within a row
Replacing a row with the sum of two other rows
Adding a nonzero constant to each entry in a row
