Let the vectors a and b be in
X =
Span{x1,x2,x3}.
Assume all vectors are in...
Let the vectors a and b be in
X =
Span{x1,x2,x3}.
Assume all vectors are in R^n for some positive integer n.
1. Show that 2a - b is in
X.
Let x4 be a vector in Rn that is not contained
in X.
2. Show b is a linear combination of
x1,x2,x3,x4.
Edit: I don't really know what you mean, "what does the question
repersent." This is word for word a homework problem I have for
linear algebra.
Linear Algebra
Write x as the sum of two vectors, one is Span {u1,
u2, u3}...
Linear Algebra
Write x as the sum of two vectors, one is Span {u1,
u2, u3} and one in Span {u4}. Assume that
{u1,...,u4} is an orthogonal basis for
R4
u1 = [0, 1, -6, -1] , u2 = [5, 7, 1, 1],
u3 = [1, 0, 1, -6], u4 = [7, -5, -1, 1], x =
[14, -9, 4, 0]
x =
(Type an integer or simplified fraction for each matrix
element.)
Problem 6.4 What does it mean to say that a set of vectors {v1,
v2, ....
Problem 6.4 What does it mean to say that a set of vectors {v1,
v2, . . . , vn} is linearly dependent? Given the following vectors
show that {v1, v2, v3, v4} is linearly dependent. Is it possible to
express v4 as a linear combination of the other vectors? If so, do
this. If not, explain why not. What about the vector v3? Anthony,
Martin. Linear Algebra: Concepts and Methods (p. 206). Cambridge
University Press. Kindle Edition.