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1. ### In Linear Algebra terminology, what is meant by a BASIS?

A basis for a vector space is a (minimal) set of linearly independent vectors that.... For example: the vectors (1, 0) and (0,1) form a basis for R² Since any vector in the plane can be written as a linear...

3 Answers · Science & Mathematics · 13/04/2008

2. ### Basis of Topological Space?

A basis for the usual topology on Euclidean space is the open balls...topology on R^n is defined, these open balls clearly form a basis. Given any metric space, there is a natural way of viewing it...

3 Answers · Science & Mathematics · 19/10/2011

3. ### what is the difference between accrual basis and cash basis accounting?

Cash-basis accounting is a method of bookkeeping that records financial ...expense is recognized when cash is paid. In cash-basis accounting, revenues and expenses are also ...

4. ### hyperplane, dimension, basis?

basis (2 0 0 1) (0 -4 0 1) (0 0 8 1) clearly independent, all satisfy the equation, and for...8)) = (x y z w) so this set covers the hyperplane. therefore this is a basis. dimension = 3 = number of elements in basis not all of R4...

2 Answers · Science & Mathematics · 27/04/2010

5. ### Linear Transformation & Change of basis?

in the standard basis, the basis {x^2, x+1,x-1} has coordinates (1,0,0), (0,1,1) and...of S = [1 0 0 ] [0 1 1 ] [0 1 -1] note that if we write our basis {x^2,x+1,x-1} as coordinate vectors of themselves, they are...

2 Answers · Science & Mathematics · 20/11/2010

Her basis depends on many things... was greater than the basis, her basis is the giver'... or decreases to basis based on improvements...

7. ### rental property new basis?

The only basis you will ever have is what you originally paid for it plus any permenant...

8. ### Cost Basis For S-Corp Gain For Individual Shareholders?

The basis for the first 100 shares is \$10k for each recipient. The... the owner dies, the beneficiaries get the stepped-up basis on the date of death. The 100 shares represent 20% of the value of the...

9. ### orthonormal basis?

..., you have one vector, and you want another normal to it for your basis. Write V1 = ( √3/2 , 1/2 ) and V2 = ( x , y ). What...

1 Answers · Science & Mathematics · 09/07/2008

10. ### Is the basis of a vector space unique?

no. a basis is not unique (in general, there is an exception to this). suppose ..., so that 1+1 is not zero. suppose {x1,x2,...,xn} is a basis for our vector space V. i claim {x1+x1,x2+x2,.....,xn+xn} is a...

2 Answers · Science & Mathematics · 22/10/2011