## Question

###### Proofs:(FIS 1.3.12) Prove that the set M â‚¬ M; ( (F) of all upper triangular matrices Mnxn (7).sulrpace2. (FIS 13.19) Let Wi aul Wz be suhspuces of Uuur SDACU Prore that WiUW? Ic# subspace of V if and ouly if Wi â‚¬ Wz or Wz â‚¬ W: Hint: To show that 4i UI? " subspICC Mi CWz or Mz CMi poof by contrdiction;

Proofs: (FIS 1.3.12) Prove that the set M â‚¬ M; ( (F) of all upper triangular matrices Mnxn (7). sulrpace 2. (FIS 13.19) Let Wi aul Wz be suhspuces of Uuur SDACU Prore that WiUW? Ic# subspace of V if and ouly if Wi â‚¬ Wz or Wz â‚¬ W: Hint: To show that 4i UI? " subspICC Mi CWz or Mz CMi poof by contrdiction;

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