If A = [[1, 2], [3, 4]] and k is a scalar such that kA = [[5, 10], [15, 20]], then k equals:
If A = [[1, 2], [3, 4]] and k is a scalar such that kA = [[5, 10], [15, 20]], then k equals:
- A. 5
- B. 4
- C. 3
- D. 2
Answer: A) 5
Explanation: kA = [[k, 2k], [3k, 4k]] = [[5, 10], [15, 20]]. From first entry: k = 5. Check: 2k = 10, 3k = 15, 4k = 20, all consistent.
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