Formula

Reversal law for transposes

(AB)^T = B^T A^T

$A^T$: the transpose of A

The transpose of a product is the product of the transposes in the reverse order.

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2018–2026

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Matrices & Determinants notes Open all 33 in the paper builder

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33 questions whose solution uses this

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Showing 33 of 33 questions — easiest first, then oldest paper first.

#1NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#2NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#3NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#4CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#5CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#6CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#7CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#8CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#9NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#10NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#11NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#12NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#13NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#14NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#15NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#16NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#17CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#18NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations
Strategy Concept notes
#19NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#20CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#21CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#22NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#23NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#24CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#25CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below.
#26NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#27NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#28NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#29CBSE Class 12 → Mathematics → Matrices → Transpose of a Matrix
#30CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#31CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#32NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#33MHT-CET → Maths → Determinants and Matrices → Systems of Linear Equations and Symmetric, Skew-Symmetric Matrices
Strategy Concept notes

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