Linear Algebra
2×2 Matrix Determinant - Linear Algebra
Learn the 2×2 matrix determinant with examples, step-by-step guide, and calculator tools. Calculate determinant of 2×2 matrix
The 2×2 matrix determinant is a fundamental concept in linear algebra. Calculate determinant of 2×2 matrix. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\det(A) = ad - bc \text{ for } A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}\]
Variables
det(A)
Determinant
a, b, c, d
Matrix elements
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → det([1 2; 3 4]) = 1×4 - 2×3 = -2
Example 2
Example 2: -2
Frequently Asked Questions
What is the 2×2 matrix determinant?
Calculate determinant of 2×2 matrix
How do I calculate 2×2 matrix determinant?
Use the formula: \det(A) = ad - bc \text{ for } A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}. Follow the steps provided above.
What tools can help with 2×2 matrix determinant?
We provide online calculators: calculator