Find two vectors v¯¯¯1 and v¯¯¯2 whose sum is 〈5,1〉, where v¯¯¯1
is parallel to 〈5,−1〉...
Find two vectors v¯¯¯1 and v¯¯¯2 whose sum is 〈5,1〉, where v¯¯¯1
is parallel to 〈5,−1〉 while v¯¯¯2 is perpendicular to 〈5,−1〉 .
v¯¯¯1 = and v¯¯¯2 =
If S is the set of vectors in R^4 (S= {v1, v2, v3, v4, v5})
where,...
If S is the set of vectors in R^4 (S= {v1, v2, v3, v4, v5})
where, v1 = (1,2,-1,1), v2 = (-3,0,-4,3), v3 = (2,1,1,-1), v4 =
(-3,3,-9,-6), v5 = (3,9,7,-6)
Find a subset of S that is a basis for the span(S).
consider the basis S={v1,v2} for R^2,where v1=(-2,1) and
v2=(1,3),and let T:R^2-R^3 be linear transformation such that...
consider the basis S={v1,v2} for R^2,where v1=(-2,1) and
v2=(1,3),and let T:R^2-R^3 be linear transformation such that
T(v1)=(-1,2,0) And T(v2)=(0,-3,5), find T(2,-3)
let v1=[1,0,10], v2=[0,1,0,1] and let W be the
subspace of R^4 spanned by v1 and v2....
let v1=[1,0,10], v2=[0,1,0,1] and let W be the
subspace of R^4 spanned by v1 and v2.
A. convert {v1,v2} into an orhonormal basis of W.
Basis =
B.find the projection of b=[-1,-2,-2,-1] onto W
C.find two linear independent vectors in R^4
perpendicular to W.
vectors =
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1
and v2 with the same...
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1
and v2 with the same span as x1, x2. Now use the formula
p =((y, v1)/(v1, v1))v1 + ((y, v2)/(v2, v2))v2
to compute the projection of y onto that span. Of course,
replace the inner product with the dot product when working with
standard vectors
1)
Compute the projection of y = (1, 2, 3) onto span
(x1, x2) where
x1 =(1, 1, 1) x2 =(1, 0, 1)
The inner...