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GalinKa [24]
3 years ago
14

Evaluate the determinant for the following matrix: [- 5 1 1 4] A. –21 B. 19 C. –17 D. –24

Mathematics
2 answers:
mariarad [96]3 years ago
6 0

Answer:

-21

Step-by-step explanation:

I assume this is a 2 by 2 matrix.

\begin{bmatrix} -5 & 1\\1 & 4 \end{bmatrix}

determinant = -5 * 4  - 1 * 1 = -20 - 1 = -21

lara [203]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

If a matrix is defined as

A=\begin{bmatrix}a\:&\:b\:\\ c\:&\:d\:\end{bmatrix}\:

then its determinant is

|A|=\:ad-bc

Let the given matrix is

B=\begin{bmatrix}-5&1\\ \:1&4\end{bmatrix}

We need to find the determinant for the given matrix.

Using the above formula we get

|B|=\left(-5\right)\cdot \:4-1\cdot \:1

|B|=-21

The determinant of given matrix is -21. Therefore, the correct option is A.

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