for square matricsA B of order n, define 'o' as follow : AoB = 1/2(AB +BA) SHOW THAT 1) - Maths - Matrices

Question

for square matricsA &B of order n, define 'o' as follow :
AoB = 1/2(AB +BA)
​SHOW THAT
1) AoB = BoA
2) AoI​n = A
3) AoA = A2
4)Ao(B+C) =AoB+AoC

Shubham Agarwal · Answer

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for square matricsA &B of order n, define 'o' as follow : AoB = 1/2(AB +BA)​SHOW THAT1) AoB = BoA2) AoI​n = A3) AoA = A2 4)Ao(B+C) =AoB+AoC