9.. Let M, and M, be subspaces of finite dimension linear space X over field F. Prove or disprove a. M-M iff M₁ = M₂ c. (M₁M₂) = M₁ + M₁ b. (MM₂) =M + Mº d. If X = M, M₂, then X'= M, M

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Chapter2: Second-order Linear Odes
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9.. Let M, and M, be subspaces of finite dimension linear space X over field F.
Prove or disprove
a. MM iff M₁ = M₂
c. (M₁M₂) = M₁ + M₁
b. (M+M₂) =M + M
d. If X = M, M₂, then X'= M M
Transcribed Image Text:9.. Let M, and M, be subspaces of finite dimension linear space X over field F. Prove or disprove a. MM iff M₁ = M₂ c. (M₁M₂) = M₁ + M₁ b. (M+M₂) =M + M d. If X = M, M₂, then X'= M M
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