alleryDeterminant of 2×2 matrix [[a, b], [c, d]]:
Aad - bc
Ba × d × b × c
Ca + d
Dab - cd
Answer & Solution
Correct answer: A. ad - bc
|A| = ad - bc for 2×2. Geometric meaning: signed area of parallelogram spanned by row vectors (or column vectors).
Keep practising Matrices and Determinants
Browse all Matrices and Determinants questions for GRE, or explore more Mathematics topics.
Related questions
The transpose of the product (AB)^T equals:For the system Ax = b, if rank(A) < rank(augmented matrix A|b), the system has:For matrices A (3×2) and B (2×4), the product AB has order:The determinant of the 2×2 matrix [[a, b], [c, d]] equals:An ORTHOGONAL matrix A satisfies:Matrix multiplication is:A matrix A has an INVERSE if and only if:The transpose of $A^T$ is: