Question

Let B = {u1,u2} where u1 = 1 0and u2 = 0 1 and B' ={...

Let B = {u1,u2} where u1 = 1 0and u2 = 0 1 and B' ={ v1 v2] where v1= 2 1 v2= -3 4 be bases for R2 find 1.the transition matrix from B′ to B 2. the transition matrix from B to B′ 3.[z]B if z = (3, −5) 4.[z]B′ by using a transition matrix 5. [z]B′ directly, that is, do not use a transition matrix.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let B1 = { u1, u2, u3 }, where u1 = (2,?1, 1), u2 = (1,?2,...
Let B1 = { u1, u2, u3 }, where u1 = (2,?1, 1), u2 = (1,?2, 1), and u3 = (1,?1, 0). B1 is a basis for R^3 . A. Find the transition matrix Q ^?1 from the standard basis of R ^3 to B1 . B. Write U as a linear combination of the basis B1 .
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases...
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases for R2, and let A = 3 2 0 4 be the matrix for T: R2 ? R2 relative to B. (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v]B and [T(v)]B, where [v]B' = [1 ?5]T. [v]B = [T(v)]B = (c) Find P?1 and A' (the matrix for T relative...
A): compute projw j if u1=[-7,1,4] u2=[-1,1,-2],w=span{u1,u2}. (u1 and u2 are orthogonal) B): let u1=[1,1,1], u2=1/3...
A): compute projw j if u1=[-7,1,4] u2=[-1,1,-2],w=span{u1,u2}. (u1 and u2 are orthogonal) B): let u1=[1,1,1], u2=1/3 *[1,1,-2] and w=span{u1,u2}. Construct an orthonormal basis for w.
Let B = {(1, 2), (−1, −1)} and B' = {(−4, 1), (0, 2)} be bases...
Let B = {(1, 2), (−1, −1)} and B' = {(−4, 1), (0, 2)} be bases for R2, and let A = −1 2 1 0 be the matrix for T: R2 → R2 relative to B. (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v]B and [T(v)]B , where [v]B' = [−3 1]T. [v]B = [T(v)]B = (c) Find P inverse−1 and A' (the matrix for...
Let V1 = R4 and V2 = R2. Let T : V1 → V2 be the...
Let V1 = R4 and V2 = R2. Let T : V1 → V2 be the map dened by T x1 x2 x3 x4 = x1 −x2 + x4 x1 + x2 + x3 + x4 . (a) Show that T is a linear transformation. (b) Let u1 = 1 0 0 −1 , u2 = 0 1 −2 1 .Show that ( u1, u2) is a basis of kerT. (c) Show that imT = V2. (Hint: Compute T(e1) and...
Let U1, U2, . . . , Un be independent U(0, 1) random variables. (a) Find...
Let U1, U2, . . . , Un be independent U(0, 1) random variables. (a) Find the marginal CDFs and then the marginal PDFs of X = min(U1, U2, . . . , Un) and Y = max(U1, U2, . . . , Un). (b) Find the joint PDF of X and Y .
Let R4 have the inner product <u, v>  =  u1v1 + 2u2v2 + 3u3v3 + 4u4v4...
Let R4 have the inner product <u, v>  =  u1v1 + 2u2v2 + 3u3v3 + 4u4v4 (a) Let w  =  (0, 6, 4, 1). Find ||w||. (b) Let W be the subspace spanned by the vectors u1  =  (0, 0, 2, 1), and   u2  =  (3, 0, −2, 1). Use the Gram-Schmidt process to transform the basis {u1, u2} into an orthonormal basis {v1, v2}. Enter the components of the vector v2 into the answer box below, separated with commas.
Let U1 and U2 be independent Uniform(0, 1) random variables and let Y = U1U2. (a)...
Let U1 and U2 be independent Uniform(0, 1) random variables and let Y = U1U2. (a) Write down the joint pdf of U1 and U2. (b) Find the cdf of Y by obtaining an expression for FY (y) = P(Y ≤ y) = P(U1U2 ≤ y) for all y. (c) Find the pdf of Y by taking the derivative of FY (y) with respect to y (d) Let X = U2 and find the joint pdf of the rv pair...
Let V be the set of all ordered pairs of real numbers. Consider the following addition...
Let V be the set of all ordered pairs of real numbers. Consider the following addition and scalar multiplication operations V. Let u = (u1, u2) and v = (v1, v2). • u ⊕ v = (u1 + v1 + 1, u2 + v2 + ) • ku = (ku1 + k − 1, ku2 + k − 1) 1)Show that the zero vector is 0 = (−1, −1). 2)Find the additive inverse −u for u = (u1, u2). Note:...
Question 6 Suppose u and v are vectors in 3–space where u = (u1, u2, u3)...
Question 6 Suppose u and v are vectors in 3–space where u = (u1, u2, u3) and v = (v1, v2, v3). Evaluate u × v × u and v × u × u.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT