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What is an element of the exterior algebra ∧V called when it is a sum of elements $v_1\wedge...\wedge v_k$, where $v_i \in V$?
What is an element of the exterior algebra ∧V called when it is a sum of elements $v_1\wedge...\wedge v_k$, where $v_i \in V$?
- k-blade (correct)
- Scalar
- Basis
- Vector
What is the algebraic structure of the exterior algebra of a vector space V?
What is the algebraic structure of the exterior algebra of a vector space V?
- Graded associative algebra (correct)
- Scalar multiplication
- Linear transformation
- Vector field
What are elements in ∧kV called?
What are elements in ∧kV called?
- Tensors
- k-multivectors (correct)
- Matrices
- Scalars
What property does the exterior product ∧ satisfy?
What property does the exterior product ∧ satisfy?
What does the property u∧v = - v∧u imply about the exterior product ∧?
What does the property u∧v = - v∧u imply about the exterior product ∧?
What is the algebraic structure of the exterior algebra of a vector space V?
What is the algebraic structure of the exterior algebra of a vector space V?
What property does the exterior product ∧ satisfy?
What property does the exterior product ∧ satisfy?
What are elements in $∧kV$ called?
What are elements in $∧kV$ called?
What does the property $uigwedge v = - vigwedge u$ imply about the exterior product $∧$?
What does the property $uigwedge v = - vigwedge u$ imply about the exterior product $∧$?
What is an element of the exterior algebra $∧V$ called when it is a sum of elements $v_1igwedge...igwedge v_k$, where $v_i ext{ in } V$?
What is an element of the exterior algebra $∧V$ called when it is a sum of elements $v_1igwedge...igwedge v_k$, where $v_i ext{ in } V$?
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