alleryTranspose of [[1,2,3],[4,5,6]] is:
A[[1,4],[2,5]]
B[[3,2,1],[6,5,4]]
C[[3,6],[2,5],[1,4]]
D[[1,4],[2,5],[3,6]] (rows become columns)
Answer & Solution
Correct answer: D. [[1,4],[2,5],[3,6]] (rows become columns)
Transpose A^T: rows of A become columns of A^T. (A^T)_(ij) = A_(ji). 2×3 matrix becomes 3×2.
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: