Let u (-2, 1), v= (3, 3) and A = = NOTE: Give exact answers. (a) Find ||u|| relative to the inner product on R² generated by the matrix A. || u || 1 1 24 = (b) Find d(u, v) relative to the inner product on R2 generated by the matrix A.

Q: Find u - v, u · u, ||v||², (u - v)v, and u - (3v). u = 4i + j - 2k, v = i - 3j + 2k (a) u: v (b) u.…

A: Dot product of two vector is - a→=  a1i^ +  a2j^ +  a3k^ b→=  bi^ +  b2j^ +  b3k^ a→.b→ =  a1 b1 +…

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

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Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). . u = 5i + j - 9k, v=i4j + 5k (a) (b) u. V u u (c) ||u||²

A: According to Bartleby's guide line we only do first three parts of multi-part questions.Given,

Q: 1.) Find the area using matrix and determinants? N Bermuda (592,239) Miami (0,0) W E Puerto Rico…

A: Please check step 2 for solution.

Q: Using the theorem on determinants, show that 1 a a2 A = 1 b b2 = (b – a)(c – a)(c - b) 11 - с с2

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Q: 1.) Find the area using matrix and determinants? N Bermuda (452,196) Miami (0,0) W + E Puerto Rico…

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Q: Solve the system below using the specified method. Write your answer in vector form. X1 - 3x2 = 2…

A: I have written in the form Ax=b and used inverse matrix method.

Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 2 5 6 -3…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, −2, 2, 0), v = (2, −1, 0, 2)

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Q: Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and…

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Q: Find the scalar triple product u (vxw). u. (vxw) = u = (-6,1,3), v = (3,6, - 8), w = (-4,3,2)

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Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (2, 1, 1), v = (3, 2, −1)

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Q: 5 1 -2 0 3 0 1 -2 0 4 3 1

A: We have to find determinant

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A: Consider the provided matrix, xy1x1y11x2y21=0 Use properties of determinants to show that the…

Q: Let A be a 7 x 7 matrix. Write down the number of different expressions for the determinant of A we…

A: The minor matrix is the determinant of the matrix that is formed by deleting the ith row and jth…

Q: Work Problem Given the matrix 0 51 0 4 3 A = x+1 0 1 a) Find the values of x for which cofactor…

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Q: Find the determinants

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Q: nsider the matrices A = B = 2 C = c- (1 ² 3) 64 69 (a) Calculate AB, BA, AC, BC and (A + B)C. (b)…

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Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: a) Find all the real numbers à such the vectors 1- x 1+x and x+1 1 are orthogonal.

A: Two vectors are said to be orthogonal if their dot product is zero. Dot Product There are two…

Q: vectors u and v are such that ||u||=9, ||v||=6 and u*v=-1. Using properties of the dot product, find…

A: Given query is to find the value of the Indicated vector.

Q: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to…

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Q: Find u - v, 2(u + 3v), and 2v - u. u = (2, 0, -8, 3), v = (0, 7, 3, 2) (a) u - v = (b) 2(u + 3v):…

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