Brian_D's latest activity
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Brian_D replied to the thread Conflicting definitions of linear independence.Thank you. However, it is NOT the case here "that the only solution to the equation ##c_1\vec v_1 + c_2\vec v_2 + c_3\vec v_3=\vec 0##...
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Brian_D replied to the thread Conflicting definitions of linear independence.Thank you. However, just considering the three given vectors, each of them gives zero as the value of the fourth coefficient. This...
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Brian_D replied to the thread Conflicting definitions of linear independence.Thank you for the clarification, but it does not materially change my question, unless the "proposed fact" is false.
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Brian_D replied to the thread Conflicting definitions of linear independence.I believe I understand what you have said. But I can't reconcile this with a column of zeros, which seems to indicate that that the...
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Brian_D replied to the thread Conflicting definitions of linear independence.OK, so if you apply this to the problem I stated, do you conclude that the homogeneous system in my problem is linearly dependent or...
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Brian_D replied to the thread Conflicting definitions of linear independence."Underdetermined" in this case means that the fourth variable can be any real number, because the coefficients in the fourth column are...
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Brian_D posted the thread Conflicting definitions of linear independence in Calculus and Beyond Homework Help.I am confused about two apparently contradictory definitions of linear independence of a set of vectors. One definition is when the...
