Let u = (−3, 2), v = (3, −2) and A = - [ i]. 1 4 NOTE: Give exact answers. | (a) Find ||u|| relative to the inner product on R² generated by the matrix A. || u || = (b) Find d(u, v) relative to the inner product on R² generated by the matrix A. d(u, v) =

Q: Please show me the steps to solve this question. It is a part of vector calculus.

A: Value of the integral is 9/16Explanation:

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A: We have to find <u, v>

Q: Let u (-2, 1), v= (3, 3) and A = = NOTE: Give exact answers. (a) Find ||u|| relative to the inner…

A: Let and .To Find: a) ||u|| relative to the inner product generated by matrix A.b) d(u,v) relative to…

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A: Norm is square root of inner product.

Q: x1= (0,4e-t,2e-t)  x2= (  5e5t , -3e5t,4e5t)  x3= (e-6t,0,e-6t) all written vertically A) Write out…

A:

Q: An inner product on R² is defined as (u, v) = (Au) · (Av), [ 3 where A : -3 (a) Is (1, –2)…

A: Orthogonal Vectors: Two vectors x and y in an inner product space are called orthogonal, if x, y=0…

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Q: 6 Let (u, v) be the inner product on R² generated by A = - [ -1 and let u = (3, −5), v = (7,4). Find…

A: We have to find the .

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A: = i(5·0 - 0·(-1)) - j (1·0 - 0·0) + k (1·(-1) - 5·0) = i (0 - 0) - j (0 - 0) + k (-1…

Q: a a 3. Compute the determinant a a by using the row/column operations a a R, → R, + R, + R, C, →C,-G…

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Q: n Prove the "column j" expansion for the determinant: det A = (-1)¹¹¹ A¡¡ det áj. i=1

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A: Given:A=xyM=cost-sintsintcostB=MAB=?

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Q: Example C The following two functions are linearly independent: Yk (2) = e rọk, 0 = constant. (4.99)…

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Q: Use the determinant to compute the area of the parallelogram induced by the following two vectors:…

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Q: Consider the ordered bases 3 = {(1,0), (1, 1)} and ß' = {(4,7), (–2,5)} for R². %3| (a) Find the…

A: The solution is given as

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A: To find the value of k using determinant of the given matrix.

Q: I need help with the second part

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Q: Need help with matrix algebra.

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