Exercise 9.1.11 Consider the set of all vectors in R2,(x, y)
such that x + y...
Exercise 9.1.11 Consider the set of all vectors in R2,(x, y)
such that x + y ≥ 0. Let the vector space operations be the usual
ones. Is this a vector space? Is it a subspace of R2?
Exercise 9.1.12 Consider the vectors in R2,(x, y) such that xy =
0. Is this a subspace of R2? Is it a vector space? The addition and
scalar multiplication are the usual operations.
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.
PLEASE a need the answer using vectors !, like sum of vectors,
etc!!
show that for...
PLEASE a need the answer using vectors !, like sum of vectors,
etc!!
show that for any triangle ABC the middle points of its sides M
N L and a point A form a parallelogram
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.)
Topic: Math - Linear Algebra
Focus: Matrices, Linear Independence and Linear Dependence
Consider four vectors v1...
Topic: Math - Linear Algebra
Focus: Matrices, Linear Independence and Linear Dependence
Consider four vectors v1 = [1,1,1,1], v2 = [-1,0,1,2], v3 =
[a,1,0,b], and v4 = [3,2,a+b,0], where a and b are parameters. Find
all conditions on the values of a and b (if any) for which:
1. The number of linearly independent vectors in this collection
is 1.
2. The number of linearly independent vectors in this collection
is 2.
3. The number of linearly independent vectors in...