Question
In: Advanced Math
Describe the set of all unit tight frames with exactly five vectors, up to PRR-equivalence.
Describe the set of all unit tight frames with exactly five vectors, up to PRR-equivalence.
Solutions
Colby Messinger answered 1 year agoRelated Solutions
R software Create a list made up of two Vectors, two Data frames and Two Matrices....
R software
Create a list made up of two Vectors, two Data frames and Two
Matrices.
i) Name the elements of the list appropriately
ii) Output just the two vectors
iii) Output just the two matrices
Problem 10. a. Construct of partition of N with exactly 4 elements and describe the equivalence...
Problem 10.
a. Construct of partition of N with exactly 4 elements and
describe the equivalence relation defined by your partition.
Remember the elements of a partition are sets.
b. Construct of partition of N with infinitely many elements and
describe the equivalence relation defined by your partition.
c. Construct a partion of the plane with exactly 4 elements and
describe the equivalence relation defined by your partition.
d. Construct a partion of the plane with infinitely many
elements and...
Determine all values of a for which the following set of vectors is dependent or independent....
Determine all values of a for which the following set of vectors
is dependent or independent. You can select 'always', 'never', 'a =
', or 'a ≠', then specify a value or comma-separated list of
values. ⎧ ⎪ ⎨ ⎪ ⎩⎫ ⎪ ⎬ ⎪ ⎭a001, 12−2−2, 48−8−9Dependent: When a =
0Independent: When a ≠ 0
Which of the following sets are closed under addition? (i) The set of all vectors in...
Which of the following sets are closed under addition?
(i) The set of all vectors in R2 of the form (a, b) where b =
a2.
(ii) The set of all 3 × 3 matrices that have the vector [3 -1
-1]T as an eigenvector.
(iii) The set of all polynomials in P2 of the form a0 + a1 x +
a2 x2 where a0 = a2.
(A) (i) only (B) all of them (C) (ii) only (D) (i) and...
Which of the following sets are closed under addition? (i) The set of all vectors in...
Which of the following sets are closed under addition?
(i) The set of all vectors in R2 of the
form (a, b) where b = a.
(ii) The set of all 3 × 3 matrices that have the vector
[-1 3 -3]T as an
eigenvector.
(iii) The set of all polynomials in P2 of
the form a0 + a1 x
+ a2 x2 where
a0 = a22.
Which of the following sets are closed under addition? (i) The set of all vectors in...
Which of the following sets are closed under addition?
(i) The set of all vectors in R2 of the
form (a, b) where b = a.
(ii) The set of all 2 × 2 matrices that have the vector
[-2 -3]T as an eigenvector.
(iii) The set of all polynomials in P2 of
the form a0 + a1 x
+ a2 x2 where
a0 = a22.
Determine whether the given relation is an equivalence relation on the set. Describe the partition arising...
Determine whether the given relation is an equivalence relation
on the set. Describe the partition arising from each equivalence
relation. (c) (x1,y1)R(x2,y2) in R×R if x1∗y2 = x2∗y1.
An equivalence relation partitions the plane R2 into the set of lines with slope 2. Describe...
An equivalence relation partitions the plane R2 into the set
of lines with slope 2. Describe
the relation on R .
(a) Show that there are, up to isomorphism, exactly 8 matroids whose underlying set has three...
(a) Show that there are, up to isomorphism, exactly 8 matroids
whose underlying set has three elements. Calling the elements a, b,
c, exhibit, for each of these matroids, its bases, cycles and
independent sets.
(b) Consider the matroid M on the set E = {a, b, c, d}, where
the bases are the subsets of E having precisely two elements.
Detrmine all the cycles of M, and show that there is no graph G
such that M is the...
(a) Show that there are, up to isomorphism, exactly 8 matroids whose underlying set has three...
(a) Show that there are, up to isomorphism, exactly 8 matroids
whose underlying set has three elements. Calling the elements
a,b,c, exhibit, for each of these matroids, its bases, cycles and
independent sets.
(b) Consider the matroid M on the set E = {a,b,c,d}, where the
bases are the subsets of E having precisely two elements. Detrmine
all the cycles of M, and show that there is no graph G such that M
is the cycle matroid M(G).
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