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https://jjthetutor.com/a-matrix-m-is-called-skew-symmetric-if-mt-m-clearly-a-skew-symetric-matrix-is-square-leet-f-be-a-field-prove-that-the-set-w_1-of-all-skew-symmetric-nxn-matrices-with-entries-form-fis-a-subspace/
A matrix M is called skew-symmetric if M^t=-M clearly a skew symetric matrix is square. Leet F be a field prove that the set W_1 of all skew symmetric nxn matrices with entries form Fis a subspace