The matrix $\begin{bmatrix} k & 2 \\ 3 & 4 \end{bmatrix}$ is singular when $k$ equals:
A$\tfrac{2}{3}$
B$-\tfrac{3}{2}$
C$\tfrac{3}{2}$
D$6$
Answer & Solution
Correct answer: C. $\tfrac{3}{2}$
Singular ⟹ determinant 0: 4k − 6 = 0 ⟹ k = 3/2.
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