Determinant of a 3×3 identity matrix
The determinant of the 3×3 identity matrix with rows (1, 0, 0), (0, 1, 0), (0, 0, 1) is 1. See the full step-by-step working and edit the matrix to try your own.
The 3x3 matrix with rows (1, 0, 0), (0, 1, 0), (0, 0, 1) has determinant 1. The calculator below is loaded with it, so you can follow every step or edit the entries.
Why the answer is 1
The determinant of any identity matrix is 1 — it scales nothing.
More determinant examples
Frequently asked questions
What is the determinant of this 3×3 identity matrix? ▾
It is 1. The determinant of any identity matrix is 1 — it scales nothing.
Is this matrix invertible? ▾
Yes. The determinant is 1, which is not zero, so the matrix has an inverse and its rows are linearly independent.
Can I change the numbers? ▾
Yes — the calculator above is fully editable. Type over any entry and the determinant and every step recalculate immediately.
About this Calculator
The determinant of the 3×3 identity matrix with rows (1, 0, 0), (0, 1, 0), (0, 0, 1) is 1. See the full step-by-step working and edit the matrix to try your own.