The determinant of a 3 × 3 matrix
- A determinant is a scalar value that is computed from elements of a square matrix.
- Determinant of a 3 × 3 matrix is also known as a third-order determinant.
- Determinants are used to solve linear equation sets, and to find eigenvalues and eigenvectors.
- The determinant of a matrix is denoted as det A, det(A) or |A|.
\[\Large
A =
\begin{bmatrix}
a & b & c \\
d & e & f \\
g & h & i
\end{bmatrix}
\]
\[\large \textbf{determinant = det(A) = |A|} \]
\[\large \textbf{determinant = det(A) = |A|} \]
- The cofactor expansion method is used to compute the determinant of a 3 × 3 matrix.
- To calculate the determinant of a 3 × 3 matrix, you need to be aware of following things,
- Minors
- Cofactors
Before continuing to this lesson we recommend having completed the Determinant of a 2 × 2 matrix lesson.