Recent content by alexngo

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    Linear Dependence and Basis in Vector Spaces | Matrix Determinant Properties

    If two non-zero geometric vectors are parallel then they are linearly dependent. For all n x n matrices A,B and C, we have (A - B)C = CA - CB Let V be a vector space. If S is a set of linearly independent vectors in V such that S spans V,then S is a basis for V. For all n x n matrices A...
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    How to check if a polynomial equation belongs to a span

    hey i would greatly appreciate the solutions for the question below 1) determine if p(x) = 9 - 17x + x^2 belong to the span of S {4-x+3x62, 2+5x+x^2}. If it does, express one vector as a linear combination of others. otherwise , justify your answer .
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    Proving Vector Space of 3-Tuples Fulfilling 3x1 - x2 + 5x3 = 0

    by showing that it respects both addition and multiplication does this proves it to be a vector space or we need to show taht it satisfies all 10 axioms
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    Proving Vector Space of 3-Tuples Fulfilling 3x1 - x2 + 5x3 = 0

    Homework Statement show that the collection of all ordered 3-tupples (x1,x2,x3) whose components satisfy 3x1 - x2 + 5x3 = 0 forms a vector space with the respect the usual operation of R3. Homework Equations 3x1 - x2 + 5x3 The Attempt at a Solution we tried it by addition and...
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