Define the permanent of a 2 × 2 matrix by the formula
perm([, ]) = + c .
([c, ])
If ₁, ₂ ², define
T(₁, ₂) = perm(₁ ₂)
to be the permanent of the matrix with columns ₁ and ₂. Is T linear in each argument?

Question

12-06-2024
Mathematics

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Define the permanent of a 2 × 2 matrix by the formula
perm([, ]) = + c .
([c, ])
If ₁, ₂ ², define
T(₁, ₂) = perm(₁ ₂)
to be the permanent of the matrix with columns ₁ and ₂. Is T linear in each argument?

Sagot :

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