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Choose the correct option.
For what value of k inverse does not exist for the matrix [1 2; k 6]:
For what value of $k$ inverse does not exist for the matrix $\begin{bmatrix} 1 & 2 \\ k & 6 \end{bmatrix}$:
- (a)0
- (b)3
- (c)6
- (d)2
Answer
Answer
Correct option: (b)
Answer: (b) 3
The inverse does not exist when the determinant is zero: $6 - 2k = 0$, so $k = 3$.