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) =

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

A: We have to find <u, v>

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

A: Norm is square root of inner product.

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

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A: We have to find the .

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

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A: We have to prove following determinant formula for any matrix A with respect to "column j". det A =…

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A: Given, the three vectors u = (2, 0, 1), v = (0, 3, 0), w = (0, 0, 1). And we have to find the triple…

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A: Given that v1→=-2.94.8, v2→=-0.4-8.6. Use the determinant to compute the area of the parallelogram…

A: The solution is given as

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

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