Find the determinant of the matrix with rows (4 2) and (5 3).
Answer and explanation
Correct answer: A. 2
- Step 1: For a 2 by 2 matrix, determinant = ad - bc. Step 2. = 4 x 3 - 2 x 5 = 2. Answer: 2. Why not the others: 22: That adds the two products instead of subtracting. -7: That multiplies along the rows, which is not the rule. -2: That subtracts in the wrong order, giving the opposite sign.
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