1. The given matrix is \( \begin{bmatrix} a & b \\ c & d \end{bmatrix} \). 2. In matrix algebra, such a matrix is a 2x2 matrix with elements \(a, b, c, d\). 3. Common operations include finding the determinant, inverse, or eigenvalues. 4. For example, the determinant \(\det\) is calculated as: $$\det = ad - bc$$ 5. This value helps determine if the matrix is invertible (invertible if \(\det \neq 0\)). 6. The inverse matrix \(A^{-1}\), if it exists, is: $$A^{-1} = \frac{1}{ad-bc} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$$ 7. You can apply these formulas depending on your problem involving this matrix.