Find the determinant of 2x2 matrix
Determinant is very important concept in Algebra.
1. determinant can be used to find the Area of triangle if three points are given.
2. determinant can be used to check whether a matrix is invertable or not.
3. and more
In this tutorial, we show how to find the determinant of 2x2 matrix.
\[
A = \begin{bmatrix}
a & b\\
c & d
\end{bmatrix} \\
\]
1. determinant can be used to find the Area of triangle if three points are given.
2. determinant can be used to check whether a matrix is invertable or not.
3. and more
In this tutorial, we show how to find the determinant of 2x2 matrix.
Formula to find the determinant of 2x2 matrix
$$\det(A) = a \times d - b \times c $$
Simple numerical example of 2x2 matrix
\[
A = \begin{bmatrix}
2 & 3\\
5 & 4
\end{bmatrix} \\
\]
Apply above formula $\det(A) = a \times d - b \times c $
\begin{equation}
\begin{aligned}
\det(A) &= 2 \times 4 - 3 \times 5 \\
\det(A) &= 8 - 15 \\
\det(A) &= -7 \quad \square \\
\end{aligned}
\end{equation}