Describe the set of all unit tight frames with exactly ﬁve vectors, up to PRR-equivalence.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related 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).

Subjects