Find the determinant of a 2×2 or 3×3 matrix, and whether it is invertible. Enter the matrix with rows separated by semicolons.
Determinant
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Of the matrix.Usage Tip
If any row or column is all zeros, or two rows are identical, the determinant is zero.
THE MATH
2×2: ad − bc
3×3: cofactor expansion across the top row
3×3: cofactor expansion across the top row
The determinant is a single number summarizing a square matrix.
It is zero exactly when the matrix is singular (has no inverse), and otherwise gives the factor by which area or volume is scaled.
It is zero exactly when the matrix is singular (has no inverse), and otherwise gives the factor by which area or volume is scaled.
Enter a 2×2 or 3×3 square matrix, rows separated by semicolons.
A non-zero determinant means the matrix is invertible.
A determinant of zero means the rows are linearly dependent.
A non-zero determinant means the matrix is invertible.
A determinant of zero means the rows are linearly dependent.