For what value of (k) is the determinant of $\left[\begin{array}{cc}k& 4\\ 6& 8\end{array}\right]$ zero?

Step-by-step solution

1. Write det = k×8 − 4×6.
2. Simplify: det = 8k − 24.
3. Set det = 0: 8k − 24 = 0.
4. Solve for k: 8k = 24 → k = 3.

Concept tested: Determinant zero condition

Published 3 September 2026 · How this solution was prepared and checked