This vCalc equation computes the (i,j) minor or first minor of the square matrix A that is input.  The minor of A is sometimes referenced as `M_"i,j"` or `"[A]"_(i,j)`. The (i,j) minor is the determinant of the sub-matrix formed by deleting the i-th row and j-th column of matrix A.

Inputs

• Matrix A:  enter the elements in the 3x3 matrix
• Index i: enter the row index of the minor `"[A]"_"i,j"`
• Index j: enter the column index of the minor `"[A]"_"i,j"`

Output

This equation outputs a single real value which is the determinant of the sub-matrix formed by excluding row i and column j.

Matrix Calculators

• Determinant of 3-by-3 Matrix
• Characteristic Polynomial of a 3x3 matrix
• Inverse of a 3x3 Matrix
• Transpose of a 3x3 Matrix
• Trace of a 3x3 Matrix
• Mirror of a 3x3 Matrix
• 3x3 Matrix Characteristics (Trace, Determinant, Inverse, Characteristic Polynomial)
• Product of a 3x3 matrix and a Scalar
• Product of a 3x3 matrix and a 3x1 matrix
• Product of two 3x3 matrices
• Solving 3 Equations with 3 Unknowns
• Cramer's Rule (three equations, solved for x, y and z)
• Cramer's Rule Calculator