Problem

Find the determinant of the following 2x2 matrix: \[ \begin{bmatrix} 5 & 3 \\ 2 & 4 \end{bmatrix} \]

Answer

Expert–verified
Hide Steps
Answer

Substitute the values into the formula: \(5 \times 4 - 2 \times 3 = 20 - 6\).

Steps

Step 1 ：The determinant of a 2x2 matrix \[ \begin{bmatrix} a & b \\ c & d \end{bmatrix} \] is given by the formula \(ad - bc\).

Step 2 ：Substitute the values into the formula: \(5 \times 4 - 2 \times 3 = 20 - 6\).

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More