If u =<5-i, -3i, 6+2i > and v=< 3, 21, -1-4i >, use the standard inner...
please use complex conjugate to find 21 = 2 + 3i, z2 = 5 – 4i, please use complex conjugate to find 2 = ? 21 = -4+ 21, z2 = 5 – 3i, 72 = ? 21 = –4 + 2i, z2 = 5 – 3i, 21 – 21 = ? + 21 = -4 + 2i, z2 = 5 – 3i, 2171 = ?
6. Use Mathematical Induction to show that (21 - 1)(2i+1) n for all integers n > 1. 2n +1 (5 marks) i=1
Problem #3: Let R4 have the inner product <u, v> = ulv1 + 2u2v2 + 3u3v3 + 40404 (a) Let w = (0,9,5,-2). Find llwll. (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 {uj, u2} into an orthonormal basis {V1, V2}. Enter the components of the vector v2 into the answer box below, separated with commas.
Suppose u^bar = -4i - 3j - 5k, v^bar = -2i - 3j - 2k and w^bar = i + 3j + 5k. Compute the following values: |u^bar| + |v^bar| = _______ |-6u^bar| + 5|v^bar| = _______ |8u^bar - 5v^bar + w^bar| = _______ 1/|w^bar| w^bar = _______ |1/|w^bar| w^bar| = _______ Enter vector lengths/magnitudes as numbers. Enter vectors using i, j, k notation. For example, 3i + 4j - 2k Use exact values or at least 4 decimal place...
8. Solve V?u=0, 2<r<4,0<O<21, (u(2,0) = sin 0, u(4,0) = cos 0,0 5 0 5 21.
5. (10 pts) Use the inner product < x,y > = 22191 +2242 in R2 and the Gram - Schmidt process to transform {(2, -1), (-2, 10)} into an orthonormal basis
1) 2) Use the vectors u = 2i - j, v = 21 - 3j, and w = -3i + 5j to evaluate the expression. 2v - u + w Find a unit vector in the same direction as the given vector. a = 201 - 21j
Let A = [2-3i 3 + 2i [ 5 - 1+i –1 + i 21 1-11 -1-il -2 ] The set of solutions to the equation Ax = 0 is 22 = [Select] 23+ [Select] 21
(1 point) Use the inner product 1 0 <fig >= f(x)g(x)dx in the vector space Cº[0, 1] to find the orthogonal projection of f(x) = 6x2 + 1 onto the subspace V spanned by g(x) = x – į and h(x) = 1. projy(f) =
Let →a=2→i−5→j−2→ka→=2i→-5j→-2k→ and →b=5→i−→kb→=5i→-k→. Find −→a+→b-a→+b→. Let ā = 27 – 53 – 2k and 7 = 57 - K. Find - ã+ 7. <3i Х 5j k X>