7.Let M be a subspace of linear space X over field F. Define M° ={f eX':f(x)=0 \xEM} b. dim M+dim MⓇ=dim X Prove or disprove a. M° is a subspace of X' C. M = M

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7.Let M be a subspace of linear space X over field F. Define
M° = {feX': f(x)=0 YXEM)
Prove or disprove
a. M° is a subspace of X'
b. dim M+dim M = dim X
c. M = M
Transcribed Image Text:7.Let M be a subspace of linear space X over field F. Define M° = {feX': f(x)=0 YXEM) Prove or disprove a. M° is a subspace of X' b. dim M+dim M = dim X c. M = M
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