Express 2 -2 -4 as sum of symmetric and skew symmetric matrix -1 3 4 1 -2 -3 Share with your friends Share 1 Anuradha Sharma answered this Given , Let A= 2-2-4-1 3 41-2-3Then A'=2-11-23-2-44-3Now, A+A'=2-2-4-1 3 41-2-3+2-11-23-2-44-3=4-3-3-36 2-32-6Let P = 12A+A'=124-3-3-36 2-32-6=2-32-32-323 1-321-3Now P'=2-32-32-323 1-321-3=PThus P = 12A+A' is a symmetric matrix.Now A-A'=2-2-4-1 3 41-2-3-2-11-23-2-44-3=0-1-510 65-60Let Q= 12A-A'=120-1-510 65-60=0-12-52120 352-30Now Q'=01252-120 -3-5230=-QThus Q = 12A-A' is a skew-symmetric matrix. 1 View Full Answer
