This question-specific review guide is tied to the answer reasoning for a PracticeTestVault item. Use it after you answer the question so the review stays focused on what the prompt actually tested.
What this question is testing
Objective: Apply matrix operations
Prompt focus: What is the determinant of the 2 by 2 matrix with first row 3 and 2 and second row 1 and 4?
Why the correct answer works
10
Correct. The determinant is 3 times 4 minus 2 times 1, which equals 10.
Why the tempting wrong answer fails
The tempting wrong answer usually loses because it skips the key condition, priority, or evidence in the prompt.
Plain-language takeaway
The determinant of a 2 by 2 matrix with entries a, b, c, d is ad minus bc. Here it is 3 times 4 minus 2 times 1, which is 12 minus 2, equal to 10.
Simple analogy
Think of apply matrix operations like following a short checklist: identify the clue, confirm the rule, and then make the move that fits this exact scenario.
How to review it before a retake
- Underline the command word and name what the question is asking before rereading the choices.
- Compare the correct answer against the closest distractor and write the exact detail that separates them.
- Retest this objective with a fresh question without looking at the rationale first.