Linear Algebra: Cramer's Rule, Basis, Subspaces & Determinants Flashcards

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Algebra - Linear Algebra

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user_hassanuml Created by 9 mon ago

Cards in this deck(19)
How to: Cofactor expansion
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How to: Determinant and row operationEvaluate the determinant of the matrix by first reducing the matrix to ref form.
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How to: Cramers rule
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How to: Determinant given dimension=n and det(A)=#
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How to: Show that Scalars in linear combination do not exist
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When do vectors lie on the same plane?
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Given ||v|| and ||w||, what are the largest and small values possible for ||v-w||?
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How to: Vertices of a right triangle from points
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How to: Express the vector as a linear combination of u, v, and w
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How to: Determine wither the set {TA(u1) TA(u2) TA(u3)} spans Rn
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How to: Determining whether a set is linearly independent
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How to: Show/check set is a Basis for ___
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How to: Express Basis as coordinate vector and as a linear combination
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How to: given u, Find the coordinate vector of TA(u) related to the basis S={(s1,s2,s3), (v1,v2,v3), (w1,w2,w3) for Rn/
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How to: Find the standard basis vector for Rn that can be added to the set {v1 v2} to provide basis for Rn
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How to: Find the dimension of the subspace R4 consisting of all vectors x for which TA(x)=0
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Change of basis
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How to: If B1 and B2 and B3 are bases for R2 and if B1->B2 and PB2->B3, B3->B1?
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How to: If the Matrix A is the transition matrix, from what basis B goes to the basis {(u) (v) (w)}?
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