Formula

Rules of transposition

(A^T)^T = A, \qquad (A+B)^T = A^T + B^T, \qquad (kA)^T = kA^T

$k$: a scalar

Transposition undoes itself and distributes over addition and scalar multiplication. Only over a product does it reverse the order.

questions use it

of them past-year

2018–2026

years it has appeared

13%

rated HARD

exams

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#1NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#2CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#3CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#4CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#5CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#6CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#7CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#8CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#9CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#10NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#11NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations
Strategy Concept notes
#12CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#13CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#14CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#15CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#16NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#17CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#18CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#19CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#20CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#21NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations
Strategy Concept notes
#22NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations
Strategy Concept notes
#23MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification
Strategy Concept notes

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