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Linear AlgebraSuperchallengeLinear Transformations

Linear Transformations · Superchallenge problem

Over the field F2={0,1}\mathbb{F}_2 = \{0,1\}, how many linear transformations T:F23→F23T:\mathbb{F}_2^3\to\mathbb{F}_2^3 satisfy T∘T=0T\circ T = 0?