Consider V = R with standard basis e,e2, e3. Recall from class we have an isomor-...
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Consider V = R³ with standard basis e₁,e2, e3. Recall from class we have an isomor- phism V&V → L(V, V) ~ M3x3(R) and that we denote the linear map we get under this isomorphism just by for ve V, pe V. Let py)=x+Z ₁() = 2 voy (a) (2 points) Find the linear map (ie matrix) associated to the tensor €₂ (b) (2 points) Find the linear map (ie matrix) associated to the tensor e, (c) (1 point) Find the linear map (ie matrix) associated to the tensor (2e, + 3€₂) @ Consider V = R³ with standard basis e₁,e2, e3. Recall from class we have an isomor- phism V&V → L(V, V) ~ M3x3(R) and that we denote the linear map we get under this isomorphism just by for ve V, pe V. Let py)=x+Z ₁() = 2 voy (a) (2 points) Find the linear map (ie matrix) associated to the tensor €₂ (b) (2 points) Find the linear map (ie matrix) associated to the tensor e, (c) (1 point) Find the linear map (ie matrix) associated to the tensor (2e, + 3€₂) @
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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