How to Calculate Determinant of a 2×2 Matrix
To calculate the determinant of a 2×2 matrix:
A =
Use this Formula to calculate Determinant of a 2×2 Matrix
det(A) = ∣A∣ = ad − bc
For further follow the following steps,
Step 1: To find a⋅d, multiply the components on the major diagonal (from top left to bottom right).
Step 2: To get b⋅c, multiply the items on the opposite diagonal (from top right to bottom left).
Step 3: Deduct the outcome from step 2 from the outcome from step 1.
Step 4: Result is the determinant of the 2×2 matrix is equal to A.
Example: Suppose we have to find determinant of
Given Matrix,
To find its determinant we cross-multiply its components, such as,
Determinant of 2×2 Matrix
Determinant of a 2×2 Matrix A = is denoted as |A| and is calculated as |A| = [ad – bc]. It is used in solving various problems related to a matrix and is used in finding the Inverse, and Rank of 2×2 Matrix.
In this article, we will learn about, the Determinant of Matrix, Determinant of 2×2 Matrix, Examples, and others in detail.
Table of Content
- What is Determinant of a Matrix?
- Determinant of a 2×2 Matrix
- How to Calculate Determinant of a 2×2 Matrix
- Determinant of Inverse of a Matrix
- Application of Determinant of 2×2 Matrix
- Examples of Determinant of 2×2 Matrix