Recent content by topgear

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    Linear Independence of subsets

    I'm sorry if I'm being slow I'm a graphic design major trying to take this class because my parents don't think art is a good major and I need math a math minor and it's killing me. You're saying I should prove it by If P then not Q. So If x1v1+...xpvp=1 then xi1vi1+...+xipvip is non trivial...
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    Inverse of upper triangular matrix

    Homework Statement Show that if A is an invertible upper triangular matrix, then A^-1 is also an upper triangular matrix Homework Equations The Attempt at a Solution The inverse of something just flips the main diagonal and leaves everything else where is was just changing the...
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    Linear Independence of subsets

    An indexed set of vectors {v1,v2,...vp} in R^n is said to be linearly independent if the vector equation x1v1+x2v2+...+xpvp=0 has only the trivial solution. The zero vector solution is known as the trivial solution.
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    Linear Independence of subsets

    Linear Independent: means it has only one or no answers Would a subset be {v1,v2,v3}, only part of {v1,v2,...,vp}?
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    Solve Vector Math Problem: Prove a=b if au = bu, u≠0

    Homework Statement Show that is u ≠ 0 and au = bu, then a=b. Here u is a vector and a and b are real numbers Homework Equations The Attempt at a Solution I don't see how this is possible. Maybe is it said If A=B and u ≠ 0 then au = bu. If a and b are different then they are...
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    Linear Independence of subsets

    Homework Statement Suppose {V1, V2, ..., Vp} form a linearly independent set of vectors. Show that any subset of this collection of vectors is also linearly independent. Is it necessarily true that is the vectors are dependent, that any subset is also dependent? Homework Equations The...
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