Determinant of an upper triangular matrix
The determinant of the upper triangular matrix with rows (2, 5, 9), (0, 3, 7), (0, 0, 4) is 24. See the full step-by-step working and edit the matrix to try your own.
The 3x3 matrix with rows (2, 5, 9), (0, 3, 7), (0, 0, 4) has determinant 24. The calculator below is loaded with it, so you can follow every step or edit the entries.
Why the answer is 24
For a triangular matrix the determinant is just the product of the diagonal: 2 × 3 × 4.
More determinant examples
Frequently asked questions
What is the determinant of this upper triangular matrix? ▾
It is 24. For a triangular matrix the determinant is just the product of the diagonal: 2 × 3 × 4.
Is this matrix invertible? ▾
Yes. The determinant is 24, 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 upper triangular matrix with rows (2, 5, 9), (0, 3, 7), (0, 0, 4) is 24. See the full step-by-step working and edit the matrix to try your own.