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

1 Answer
Jul 26, 2016

Answer:

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#.