Question

How do you find the determinant of `((10, 10, 5), (10, 10, 8), (10, 10, 9))`?

Answer 1

The determinant is `0` since the first two columns are linearly dependent.

Explanation:

Since the first two columns are identical, the effect of multiplying by this matrix is a linear transform which squashes at least one dimension, reducing the unit cube to zero volume. So the determinant is `0`.