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Determinant of a 3-by-3 Matrix

det=(a⋅(e⋅i−f⋅h))−(b⋅(d⋅i−f⋅g))+(c⋅(d⋅h−e⋅g))
(A)Matrix
Tags
Matrix

The Determinant of a 3x3 Matrix calculator compute the determinant of a 3x3 matrix.

INSTRUCTIONS: Enter the following:

  • (A) 3x3 Matrix

Determinant (det): The calculator returns the determinate as a real number.

               

/attachments/ea5daaad-fe57-11e3-b7aa-bc764e2038f2/Determinantofa3by3Matrix-illustration.png

Notes

The pattern continues for larger matrices: multiply a by the determinant of the matrix that is not in a's row or column, continue like this across the whole row, but remember the + - + - pattern.

Another way to calculate the determinant 3-by-3 matrix:

det(A) = a*e*i + b*f*g + c*d*h - g*e*c - h*f*a - i*d*b