can I get the solution please? 1) Given this vector v(-3,2) in Standard basis (a) find the coordinates in basis B, then (b) prove that you can go back to the Standard and (c) prove graphically t...

Question

Question

can I get the solution please?

1) Given this vector v(-3,2) in Standard basis (a) find the coordinates in basis B, then (b) prove that you can go back to th

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Similar Homework Help Questions

7.) 10points Let V be the space of 2 x 2 matrices. Let T: V-V be given by T(A) = A a.) Prove that T a linear transformation b.) Find a basis for the nullspace (Kernel) of T. c) Find a basis for the r...

7.) 10points Let V be the space of 2 x 2 matrices. Let T: V-V be given by T(A) = A a.) Prove that T a linear transformation b.) Find a basis for the nullspace (Kernel) of T. c) Find a basis for the range of T. 7.) 10points Let V be the space of 2 x 2 matrices. Let T: V-V be given by T(A) = A a.) Prove that T a linear transformation b.) Find a basis for...
Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on ...

Please help me. i didnt understand those formulas. can you please explain them. thanks. Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on the surface of the cylinder described by r-2. At point P find (a) the vector component of E perpendicular to the cylinder, (b) the vector component of E tangential to the cylinder. Can anyone please tell me where does these formulas come from and also is there any formulas...
Question 3 (10 marks) Suppose B-[bi, b2] and Cci, c2) are bases for a vector space V, even though we do not know the coordinates of all those vectors relative to the standard basis. However, we know...

Question 3 (10 marks) Suppose B-[bi, b2] and Cci, c2) are bases for a vector space V, even though we do not know the coordinates of all those vectors relative to the standard basis. However, we know that bi--c1 +3c2 and b2-2c1 -4c2 (a) Show that if C is a basis, then B is also a basis (b) Find N, given that x-5but 3b2. (c) Find lyle given that y Зе-5c2. Question 3 (10 marks) Suppose B-[bi, b2] and Cci,...

please proof and explain. thank you 1. Let W be a finitely generated subspace of a vector space V . Prove that W has a b...

please proof and explain. thank you 1. Let W be a finitely generated subspace of a vector space V . Prove that W has a basis. 2. Let W be a finitely generated subspace of a vector space V . Prove that all bases for W have the same cardinality.
Given the orthogonal basis B for R4 and the vector v below, find the Fourier coefficients...

Given the orthogonal basis B for R4 and the vector v below, find the Fourier coefficients for v with respect to B. Your coefficients should be given in the same order as the vectors in B. B = 1 22 -1 | 7 | 0 | 0 | |-1 | 2 Fourier Coefficients: 0, 0, 0, 0
Problem 5. (a) Prove that for every ordered basis B = (61, ..., bn) of R”,...

Problem 5. (a) Prove that for every ordered basis B = (61, ..., bn) of R”, there is a unique ordered basis B* = (1, ...,b*) of R™ such that 5.; = dij for all 1 Si, j <n.(Hint: think about matrix multiplication.] (b) Let E = (ēl, ..., ēn) be the standard basis of R”. Find E*. (c) Let B = (61, ..., 6n) be an ordered basis of R”, and let B* = (1, ...,5%) be as in...

1. Let V be a vector space with bases B and C. Suppose that T:V V is a linear map with matrix representations Ms(T)A and Me(T) B. Prove the following (a) T is one-to-one iff A is one-to-one. (b...

1. Let V be a vector space with bases B and C. Suppose that T:V V is a linear map with matrix representations Ms(T)A and Me(T) B. Prove the following (a) T is one-to-one iff A is one-to-one. (b) λ is an eigenvalue of T iff λ is an eigenvalue of B. Consequently, A and B have the same eigenvalues (c) There exists an invertible matrix V such that A-V-BV 1. Let V be a vector space with bases B...
linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and...

linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...
Let V be a vector space, and ffl, f2, fn) c V be linear functionals on V. Suppose we can find a vector vi e V such that fl (v) 6-0 but £2(v)-6(v) = . . .-m(v) = 0. Similarly, suppose that for all 1 i...

Let V be a vector space, and ffl, f2, fn) c V be linear functionals on V. Suppose we can find a vector vi e V such that fl (v) 6-0 but £2(v)-6(v) = . . .-m(v) = 0. Similarly, suppose that for all 1 i < n we can find vi є V such that fi(vi) 6-0 and fj (vi)-0 for alljöi. Prove that {fL-fa) is were linearly independent in V ly independent in V * . Prove also...

(i) Find an orthonormal basis {~u1, ~u2} for S (ii) Consider the function f : R3...

(i) Find an orthonormal basis {~u1, ~u2} for S (ii) Consider the function f : R3 -> R3 that to each vector ~v assigns the vector of S given by f(~v) = <~u1, ~v>~u1 + <~u2; ~v>~u2. Show that it is a linear function. (iii) What is the matrix of f in the standard basis of R3? (iv) What are the null space and the column space of the matrix that you computed in the previous point? Exercise 1. In...

can I get the solution please? 1) Given this vector v(-3,2) in Standard basis (a) find the coordinates in basis B, then (b) prove that you can go back to the Standard and (c) prove graphically t...

Homework Answers

Add Answer to:
can I get the solution please? 1) Given this vector v(-3,2) in Standard basis (a) find the coordinates in basis B, then (b) prove that you can go back to the Standard and (c) prove graphically t...

Post as a guest

Earn Coins

7.) 10points Let V be the space of 2 x 2 matrices. Let T: V-V be given by T(A) = A a.) Prove that T a linear transformation b.) Find a basis for the nullspace (Kernel) of T. c) Find a basis for the r...

Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on ...

Question 3 (10 marks) Suppose B-[bi, b2] and Cci, c2) are bases for a vector space V, even though we do not know the coordinates of all those vectors relative to the standard basis. However, we know...

please proof and explain. thank you 1. Let W be a finitely generated subspace of a vector space V . Prove that W has a b...

Given the orthogonal basis B for R4 and the vector v below, find the Fourier coefficients...

Problem 5. (a) Prove that for every ordered basis B = (61, ..., bn) of R”,...

1. Let V be a vector space with bases B and C. Suppose that T:V V is a linear map with matrix representations Ms(T)A and Me(T) B. Prove the following (a) T is one-to-one iff A is one-to-one. (b...

linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and...

Let V be a vector space, and ffl, f2, fn) c V be linear functionals on V. Suppose we can find a vector vi e V such that fl (v) 6-0 but £2(v)-6(v) = . . .-m(v) = 0. Similarly, suppose that for all 1 i...

(i) Find an orthonormal basis {~u1, ~u2} for S (ii) Consider the function f : R3...

can I get the solution please? 1) Given this vector v(-3,2) in Standard basis (a) find the coordinates in basis B, then (b) prove that you can go back to the Standard and (c) prove graphically t...

Homework Answers

Add Answer to: can I get the solution please? 1) Given this vector v(-3,2) in Standard basis (a) find the coordinates in basis B, then (b) prove that you can go back to the Standard and (c) prove graphically t...

Post as a guest

Earn Coins

Add Answer to:
can I get the solution please? 1) Given this vector v(-3,2) in Standard basis (a) find the coordinates in basis B, then (b) prove that you can go back to the Standard and (c) prove graphically t...