Let L:R R be a linear operator such that L X2 X3- X2 then Ker(L) spanned by: Select one: (e, e )

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Q: Let L:R→ R be a linear operator such that L X2 )= X1 then Ker(L) spanned by: X3 X1 Select one: a.…

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A: I have used just definition of normal operator

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A: Since T is a linear functional defined on        C [a,b]

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A: Given: L is the linear operator on and it is define by,

Q: Let L:R3 → R3 be a linear operator such that L ×2 X1 then Ker(L) spanned by: X3 Select one: O a.…

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Q: et L:RR be a linear operator such that L x2 )-X1, then Im(L) spanned by= X3 X1 Gelect one: a. O b.…

A: T : A  → B thenIm(T) = { TX : X ∈ A}

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Q: Let L: R→ R be a linear operator such that L X2 )= X3-X2, then Ker(L) spanned by: X3 X3-X1. Select…

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Q: 2) Find the indicated norms of the following linear functionals defined on RS b) f(x1,X2, X3, X4,X5)…

A: This question is about application of functional analysis

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Q: Let L: R → R be a linear operator such that L X2 )=| X1 then Ker(L) spanned by: Select one: а. b.…

A: Given a linear operator L from R3 to R3. We need to find the set of vectors that spans Ker(L)

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A: T0Tx = T(t(x))

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A: Please find the answer in next step

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Q: Let L:R→ R be a linear operator such that L X2 )=x1, then Im(L) spanned by: -> X3 Select one: a. 一 O…

A: The given linear operator is: L:ℝ3→ℝ3 such that Lx1x2x3=x1x1x1

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A: According to question given :L:R3→R3Lu1u2u3=u1+12u2u3We have to determine whether L is a linear…