Compute the determinant of the matrix [[1,2],[3,4]].

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

Compute the determinant of the matrix [[1,2],[3,4]].

Explanation:
Determinant of a 2x2 matrix is found by ad − bc. Here a = 1, b = 2, c = 3, d = 4, so det = 1×4 − 2×3 = 4 − 6 = −2. A nonzero determinant means the transformation is invertible, and the negative sign indicates the orientation is reversed while the area is scaled by 2 in magnitude. So the determinant is −2.

Determinant of a 2x2 matrix is found by ad − bc. Here a = 1, b = 2, c = 3, d = 4, so det = 1×4 − 2×3 = 4 − 6 = −2. A nonzero determinant means the transformation is invertible, and the negative sign indicates the orientation is reversed while the area is scaled by 2 in magnitude. So the determinant is −2.

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