Recent content by DerivativeofJ

Hey guys/gals i have been enjoying my time taking Linear Algebra. I have always been the kind of person who would take math classes because that is what i was best in. But thanks to this course i have begun to truly like math. I have taken calc 1,2,3 and Differential Equations. What math class...

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Yes, you're right simplification will lead you to the right answer. so you have -t/(2(t+1)^(3/2)) + 1/(t+1)^(1/2) so the common denominator is 2(t+1)^(3/2) so multiply the top and bottom of the second expression by 2(t+1) so you have -t/(2(t+1)^(3/2)) + 2(t+1)/(2(t+1)^(3/2))...

It is notation. It is called the coordinate vector of v1 relative to S. for example v1 can be written as a linear combination of the basis S v1= c1(w1)+ c2(w2)+...+ cn(wn) thus (v1)s= {c1,c2,...,cn}

Homework Statement Let S be a basis for an n-dimensional vector space V. Show that if v1,v2,...,vr form a linearly independent set of the vectors in V, then the coordinate vectors (v1)s, (v2)s,...,(vr)s form a linearly independent set in the Rn, and conversely. Homework Equations...