What is the determinant
- A determinant is a scalar value that is computed from elements of a square matrix.
- Determinant of a 2 × 2 matrix is also known as a second-order determinant.
- Determinants are used to solve linear equation sets, and to find eigenvalues and eigenvectors.
- The determinant of a matrix is equal to the determinant of its transpose.
- The determinant of a matrix is denoted as det A, det(A) or |A|.
\[\Large
A =
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
\]
\[\large \textbf{determinant = det(A) = |A|} \]
\[\large \textbf{determinant = det(A) = |A|} \]
The determinant of the matrix “A” is denoted by “det(A)”.