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  1. ... in terms of i and j. For instance a_ij not equal to a_ ik if j not equal to k. That says you don't get the same ...

    1 Answers · Science & Mathematics · 23/01/2015

  2. ... (i,j) entry of PP^t is Sum{k = 1, n} P_ ik P_jk = Sum{k = 1, n} d_s(i)k d_s(j)k = d_s(i)s(j). Since...

    1 Answers · Science & Mathematics · 07/02/2014

  3. math·e·mat·ics [math-uh-mat- iks ] noun 1. ( used with a singular verb ) the systematic treatment of magnitude, ...

    2 Answers · Science & Mathematics · 28/01/2014

  4. ...integrand has singularities at z^2 = i ==> z = [e^(πi/2 + 2π ik )]^(1/2) = ±(1 + i)/√2. So, z^2 + i = (z - (1 + i)/√2)(z + (1 + i)/√2...

    1 Answers · Science & Mathematics · 18/11/2013

  5. ...and B = (b_ij). Then AB = (c_ij), where c_ij = ∑(k = 1, n) a_ ik b_kj. Hence |AB| = ∑(p ∈ Sn) sign(p) c_1p(1) ••• c...

    3 Answers · Science & Mathematics · 17/10/2013

  6. ...r(t)= cost i + t j + sint k First combine i and k terms r(t)_ ik = √(cos^2(t) + sin^2(t)) = 1 The combine the result with j term r...

    1 Answers · Science & Mathematics · 02/10/2013

  7. ... 5th roots of both sides, we have z + 1 = z * e^(2π ik /5) with k = 0,1,2,3,4 [noting that e^(2πi/5) is a primitive ...

    2 Answers · Science & Mathematics · 27/09/2013

  8. Area of a circle = pi r^2 ----> Area of a semi circle = (pi r^2)/2

    1 Answers · Science & Mathematics · 25/07/2013

  9. Too long to explain. Look up Cramer's Rule. It is also in your textbook.

    5 Answers · Science & Mathematics · 14/02/2013

  10. ...j)-entry of f(k1u + k2v) is (A(k1u + k2v))_ij = ∑(k = 1 to n) a_ ik (k1u + k2v)_k (by definition of matrix multiplication) = ∑(k = 1 to n) a_jk (k1u_k + k2v...

    1 Answers · Science & Mathematics · 11/03/2013

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