3. (a) Compute the following matrix-vector product. Express your answer in terms of a, b: a...
Part B Express force FCa as a Cartesian vector Express your answer in terms of the unit vectors i,j. and k. Use the vec' button to denote vectors in your nswers. Express your significant figures. answer using three lb Submit Give Up Part C Express force FDA as a Cartesian vector Express your answer in terms of the unit vectors i,j. and k. Use the vec button to denote vectors in your answers. Express your answer using three significant figures....
Express the force as a Cartesian vector. (Figure 1) Express your answer in terms of the unit vectors i, j and k. 2 F = 50 lbr 45° 5
3. Consider the following 3 × 2 matrix: Го -2 0 (a) (By hand.) Find the singular value decomposition (SVD) of A. (b) (By hand.) Find the outer product form of the SVD of A. c) (By hand.) Compute (using singular values) A 2 3. Consider the following 3 × 2 matrix: Го -2 0 (a) (By hand.) Find the singular value decomposition (SVD) of A. (b) (By hand.) Find the outer product form of the SVD of A. c)...
Part A Express the force as a Cartesian vector. (Figure 1) Express your answer in terms of the unit vectors i, j and k. To denote vectors in your answers, be sure to select the 'vec button Figure < 1of1 > Submit F-900 N 4 m Provide Feedback Next >
Part A Express the force as a Cartesian vector. (Figure 1) Express your answer in terms of the unit vectors i. j.k. To denote vectors in your answers, be sure to select the vec' button F- Figure 1of 1 Submit uest Ans F = 750 N Provide Feedback
3. Find the deflection at B by Castigliano's Second Theorem. Express your answer in terms of P and EI. (25 Points) 5P А C 21 B L/2 L/2
1. Find a 2x2 matrix A if for the vector v= [R], Av = [4 +38] 2. For this problem, use matrices A = La ), B=1 _Jandc=lo 9]. Suppose that the matrices A and B commute (so AB=BA) and the matrices A and C commute. Find the entries for the matrix A. 3. Find a number a so that the vectors v = [3 2 a) and w = [2a -1 3] are orthogonal (perpendicular). 4. For the vector...
)-( 1 (c) Let C be a real 3 x 3 matrix and b be a real 3-vector. The general solution to the matrix equation Cx=b is given by 2 2 =X3 + -4 2 for all XER Let 10 y = -6 8 (i) Let z be a real 3-vector. Find the solution set to the matrix equation Cz=0 (ii) Calculate M1, M2 ER such that 2 y = M1 ( 3 + H2 ·()--() 1 (iii) Express Cy...
6 3 Compute the product using the methods below. If a product is undefined, explain why. a. The definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights. b. The row-vector rule for computing Ax. 2 - 5 -4 -5 7 4 a. Set up the linear combination of the columns of A using the corresponding entries in x as weights. Select the correct choice below and, if necessary, fill...
Problem 1 Consider the following matrix A and vector b A = 1 1 1] To 21: b= -47 Do the following computations. (In this problem, you can definitely use the formulas from textbook Theorems 2.7, 2.8 and 2.9 directly.) (a) Compute || b||2 and ||b||0o. (b) Compute || A||2. (c) Compute K1(A) and kc (A).