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Question: Check if matrix is skew symmetric

Question:Check if matrix is skew symmetric

Ronan 1341 Maple 2024
skew-symmetric
May 30 2025
0

I am trying to check if a matrix quailfies as being skew-symmetric. So I added it to it's transpose to get a matrix of zeroes. 

How do I check it  equals the ZeroMatrix?

restart

NULL

M := Matrix(3, 3, {(1, 1) = 0, (1, 2) = (40*sqrt(7)+140)/(560+sqrt(7)), (1, 3) = (80*sqrt(7)+35)/(560+sqrt(7)), (2, 1) = (-40*sqrt(7)-140)/(560+sqrt(7)), (2, 2) = 0, (2, 3) = (280-32*sqrt(7))/(560+sqrt(7)), (3, 1) = (-80*sqrt(7)-35)/(560+sqrt(7)), (3, 2) = (-280+32*sqrt(7))/(560+sqrt(7)), (3, 3) = 0})

Matrix(%id = 36893490078408578100)

 (1)

mtest := simplify(M+M^%T)

Matrix(%id = 36893490078408571348)

 (2)

LinearAlgebra:-ZeroMatrix(3)

Matrix(%id = 36893490078408566412)

 (3)

is(mtest = LinearAlgebra:-ZeroMatrix(3))

false

 (4)

NULL

Download 2025-05-30_is_Matrix_skew-symmetric.mw
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