For a 3x3 matrix A: (A + Aᵀ) is always:
ASkew-symmetric
BSymmetric
CZero matrix
DDiagonal matrix
Answer & Solution
Correct answer: B. Symmetric
(A + Aᵀ)ᵀ = Aᵀ + A = A + Aᵀ. Same as original, so symmetric. Similarly (A - Aᵀ) is skew-symmetric.
Related questions
If A is a 3×3 matrix with det(A) = 5, then det(2A) isDeterminant of a 2×2 matrix [[a,b],[c,d]] equalsIf A is invertible, then A × A⁻¹ equalsA matrix with the same number of rows and columns is calledIf A is invertible 2 × 2 and A² = I then A isDeterminant of a triangular matrix equalsA square matrix A is called symmetric ifIf A and B are square matrices of same order, in general