A. Suppose that v1, v2, v3 are linearly independant and
w1=v1+v2, w2=v2-v3, w3= v2+v3. Determine whether...
A. Suppose that v1, v2, v3 are linearly independant and
w1=v1+v2, w2=v2-v3, w3= v2+v3. Determine whether w1, w2, w3 are
linear independent or linear deppendent.
B. Find the largest possible number of independent vectors
among:
v1=(1,-1,0,0), v2=(1,0,-1,0), v3=(1,0,0,-1), v4=(0,1,-1,0),
v5=(0,1,0,-1), v6=(0,0,1,-1)
Determine whether the given vectors span R3
V1=(-1,5,2), V2=(3,1,1), V3=(2,0,-2), V4=(4,1,0)
Determine whether the given vectors span R3
V1=(-1,5,2), V2=(3,1,1), V3=(2,0,-2), V4=(4,1,0)
Determine all real numbers a for which the vectors
v1 = (1,−1,1,a,2)
v2 = (−1,0,0,1,0)
v3...
Determine all real numbers a for which the vectors
v1 = (1,−1,1,a,2)
v2 = (−1,0,0,1,0)
v3 = (1,2,a + 1,1,0)
v4 = (2,0,a + 3,2a + 3,4)
make a linearly independent set. For which values of a does the
set contain at least three linearly independent vectors?
In forming a chelate with a metal ion, a mixture of free EDTA
(abbreviated Y4–) and...
In forming a chelate with a metal ion, a mixture of free EDTA
(abbreviated Y4–) and metal chelate (abbreviated MYn–4) can buffer
the free metal ion concentration at values near the dissociation
constant of the metal chelate, just as a weak acid and a salt can
buffer the hydrogen ion concentration at values near the acid
dissociation constant. This equilibrium is governed by the equation
where Kf is the association constant of the metal and Y4–, αY4– is
the fraction...
You are reading a paper describing measurements of the opening
and closing of an ion channel...
You are reading a paper describing measurements of the opening
and closing of an ion channel over time. From these data, the
authors calculated the fraction of time the channel was open, and
called this the probability of being open (popen). They then used
this probability to determine the energy difference between the
open and closed states. However, they reported their results as a
difference in free energy. Describe why they made the choice to
report this as a free...