Web3 0 0 −2 1 −4 0 0 3 . Also, since we’ve already computed the relevant cofactors, it’s easy to find detA: detA = a 11C 11 +a 12C 12 +a 13C 13 = 1·3+2·0+0·0 = 3. Therefore, A−1 = 1 detA CT = 1 3 3 −2 0 0 1 0 0 −4 3 = 1 −2/3 0 0 1/3 0 0 −4/3 1 (b) Again, we need to determine the various cofactors of A to find the matrix C ... Webπ 0 =0−0. So we use this: Product of sines sinnx sinkx= 1 2 cos(n−k)x− 1 2 cos(n+k)x. (4) Integrating cosmx with m = n−k and m = n+k proves orthogonality of the sines. The …
Wolfram Alpha Examples: Calculus & Analysis
WebCross product and determinants (Sect. 12.4) I Two definitions for the cross product. I Geometric definition of cross product. I Properties of the cross product. I Cross … WebWolfram Alpha calls Wolfram Languages's D function, which uses a table of identities much larger than one would find in a standard calculus textbook. It uses well-known rules such … 30 二進数
The Integral - University of Pennsylvania
Webabove, we have the permutation π ∈S5 such that π1 = π(1) = 3,π2 = π(2) = 1,π3 = π(3) = 4,π4 = π(4) = 5,π5 = π(5) = 2. Moreover, written in two-line notation, π = 12345 31452. … WebQuestion: Calculate the cross product. (i - 7j + 3k) times (j - k) Calculate the cross product assuming that u times v = 3, 8,0 . V times (u + v) Find V times W, Where V and W are … Web2.3.1 Calculate the dot product of two given vectors. 2.3.2 Determine whether two given vectors are perpendicular. 2.3.3 Find the direction cosines of a given vector. 2.3.4 Explain what is meant by the vector projection of one vector onto another vector, and describe how to compute it. 2.3.5 Calculate the work done by a given force. 30 代 平均年収