Question

Find the determinant of the matrix (1 point)
Responses

-28
-28

-20
-20

20
20

0

Answer 1

-2 -5
-2 -5

Answer 2

To find the determinant of a 2x2 or 3x3 matrix, you would typically use the determinant formula for those specific sizes of matrices. However, you have not provided a specific matrix to calculate the determinant for.

If you can provide the matrix, I can help you compute its determinant. Otherwise, I cannot determine which of the options (-28, -20, 20, 0) is the correct answer without any additional information. Please provide the matrix you want to find the determinant of.

Answer 3

To calculate the determinant of the given 2x2 matrix:

\[
\begin{bmatrix}
-2 & -5 \\
-2 & -5
\end{bmatrix}
\]

The determinant of a 2x2 matrix

\[
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
\]

is calculated using the formula:

\[
\text{det}(A) = ad - bc
\]

For your matrix:

- \(a = -2\)
- \(b = -5\)
- \(c = -2\)
- \(d = -5\)

Now, substituting these values into the formula:

\[
\text{det}(A) = (-2)(-5) - (-5)(-2)
\]

Calculating each term:

1. \( (-2)(-5) = 10 \)
2. \( (-5)(-2) = 10 \)

Now, substitute these values into the determinant formula:

\[
\text{det}(A) = 10 - 10 = 0
\]

Thus, the determinant of the matrix is **0**.