Trivia ForgePlay free →

A square matrix A is invertible if and only if its determinant is what value?

Show answer

Non-zero

A zero determinant implies that the matrix is singular, meaning its rows or columns are linearly dependent and the linear transformation it represents collapses volume.

Also asked as:
  • For a square matrix A, what condition on det(A) is equivalent to the matrix being invertible?

Would you remember this in 6 months?

Trivia Forge uses spaced repetition so facts stick. Free, no signup needed.

Turn on Linear Algebra practice →

More Linear Algebra trivia

See all 145 →