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Questions and Answers
What is the number of rows equal to in a square matrix?
What is the number of rows equal to in a square matrix?
- The determinant value
- The size of the matrix (correct)
- The value of the first element
- The number of columns
In a $3 \times 3$ matrix, how many entries are there?
In a $3 \times 3$ matrix, how many entries are there?
- 3
- 9 (correct)
- 6
- 4
What is the determinant of a $2 \times 2$ matrix given by $\begin{bmatrix} a & b \ c & d \end{bmatrix}$?
What is the determinant of a $2 \times 2$ matrix given by $\begin{bmatrix} a & b \ c & d \end{bmatrix}$?
- $a^2 + b^2 + c^2 + d^2$
- $2ad - bc$ (correct)
- $ad - bc$
- $ab\sqrt{cd}$
What happens to the determinant of a matrix if all its entries are multiplied by a scalar?
What happens to the determinant of a matrix if all its entries are multiplied by a scalar?
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Which property of determinants states that swapping two rows of a matrix negates its determinant?
Which property of determinants states that swapping two rows of a matrix negates its determinant?
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