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06-06-2023
Mathematics

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Let T₁: RnR and T₂: Rk Rm. a. What is the ambient space of Range(T₁)? b. What is the ambient space of Ker(T₂)? c. Prove that T₂ o T₁ = Zn,m if and only if Range (T₁) C Ker(T2). Recall that Zn,m RnRm is the zero transformation, where Zn,m (v) = 0m for all v € Rn.

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