5 Questions
What is the number of rows equal to in a square matrix?
The size of the matrix
In a $3 \times 3$ matrix, how many entries are there?
9
What is the determinant of a $2 \times 2$ matrix given by $\begin{bmatrix} a & b \ c & d \end{bmatrix}$?
$2ad - bc$
What happens to the determinant of a matrix if all its entries are multiplied by a scalar?
The determinant is multiplied by the scalar
Which property of determinants states that swapping two rows of a matrix negates its determinant?
Interchange property
This quiz covers the basics of determinants in linear algebra. It includes questions on the number of rows in a square matrix, entries in a 3x3 matrix, finding the determinant of a 2x2 matrix, scalar multiplication effect on determinant, and the property of determinants related to swapping rows.
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