Symmetric and skew-symmetric matrices
Matrices and determinants (introductory) · Mathematics
Study notes
Q: Classify: A = [[2,3],[3,5]], B = [[0,4],[-4,0]]. Express C = [[1,2],[3,4]] as P + Q. Aᵀ = A: symmetric. Bᵀ = -B: skew-symmetric. P = (C+Cᵀ)/2 = [[1,2.5],[2.5,4]], Q = (C-Cᵀ)/2 = [[0,-0.5],[0.5,0]]. P+Q = C ✓.