Property

Skew-symmetric matrices

A^T = -A \;\Rightarrow\; a_{ii} = 0

$A^T$: the transpose of A

A matrix is skew-symmetric when its transpose is its negative, which forces every diagonal entry to be zero.

questions use it

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2023–2026

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#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 → Symmetric and Skew-Symmetric Matrices
#5NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#6NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#7CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#8NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#9CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#10CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#11CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#12CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#13CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#14CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#15CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#16CBSE Class 12 → Mathematics → Matrices → Order and Types of Matrices
#17CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#18CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#19CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#20NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#21NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#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
#24NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#25NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#26CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#27CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#28NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#29NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#30CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#31CBSE 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.
#32NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes
#33CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#34CBSE Class 12 → Mathematics → Matrices → Symmetric and Skew-Symmetric Matrices
#35NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#36MHT-CET → Maths → Determinants and Matrices → Systems of Linear Equations and Symmetric, Skew-Symmetric Matrices
Strategy Concept notes
#37NDA → Mathematics → Matrices & Determinants → Special Matrices — Skew-Symmetric, Diagonal, Idempotent, Orthogonal, Rotation
Strategy Concept notes

Every identity this chapter tests, with its own question set.

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