Question

question 31 points 2

\\(s = \

$$\begin{bmatrix} 5 & 2 \\\\ 2 & 1 \\end{bmatrix}$$

\\). does the matrix \\(s\\) have an inverse?

yes
no

Explanation:

Calculate the determinant of matrix S

Using the Matrix Determinant knowledge point

$$ \det(S) = (5)(1) - (2)(2) = 5 - 4 = 1 $$

Determine if the inverse exists

An inverse exists because the determinant is non-zero.

$$ \det(S) = 1 eq 0 $$

Answer:

• Yes (Correct answer)
• No