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Use the software package of your choice to obtain a solution, calculate the inverse, and determine the condition number (without scaling) based on the row-sum norm for
(a)
(b)
In both cases, the answers for all the x's should be 1.
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- 1. Consider the following square matrix A = 9 6 (a) Determine the eigenvalues and eigenvector(s) of A. (b) Find the modal matrix M and diagonalize A through similarity transformation M 'AM. do we get a Jordan form or not? Explain why?arrow_forwardThe vertical asymptote of the . following function is 4x2 + 20x + 24 f(x) = x + 3arrow_forwardFind the desired ones by typing randomly two A and B the vector in the form below. A = (A1)ï + (A2)ƒ + (A3)k B = (B1)7+ (B2)7 + (B3)k Vektörel çarpım ĀxB= ? Skaller çarpım Ā.B= ? Şiddeti JÄx B]= ?arrow_forward
- Compute the gradient vector fields of the following functions: A. f(x, y) = 2x² + 6y? Vf(x, y) = i+ B. f(x, y) = x*y!0, Vf(x, y) = i+ j C. f(x, y) = 2x + 6y Vf(x, y) = i+ j D. f(x, y, z) = 2x + 6y + 4z Vf(x, y) = i+ j+ k %3D E. f(x, y, z) = 2x² + 6y² + 4z² V (x, y, z) = i+ j+ karrow_forwardQ2) In a design, a triangle object is constructed by connecting three points A(12.66025, 11), B(4, 6)and C(3, 7.73205). While the rectangular is constructed by connecting the points D(2,5), E(8,5), F(8,2) and G(2,2). Determine the necessary transformation matrix and the new coordinates of the end points to move the triangle ABC in which the line AB coincide with line EF and line BC coincide with line FG. (i.e: points A, B and C coincide with points E, F and G respectively).arrow_forward2. Consider the following matrix 10 0 140 A1 = 0 3 A2 = 1 1 1 , A3 = 1 0 -1 3 (a) Find the eigenvalues and eigenvectors of each matrix in (2). 1 10 010 1 2 3 (2) (b) Find the modal matrix M and diagonal each matrix (2) through similarity transforma- tion. Which matrix in (2) will lead to the Jordan form?arrow_forward
- 7. Given a square matrix 1 -2 0. A%3= -3 -1 0 1arrow_forward3. Use the second method of frame assignment, and find the Jacobian of the following robot using the velocity propagation method (Ignore all theta related offsets): 03 02 L2 01 Please answer the question precisely and completely to use the second method of frame assignment to find the D-H table [alpha (i-1) , a (i-1) , d (i) , theta (i)], and find the jacobian matrix using the velocity propagation methodarrow_forwardFor the given 2D element shown in the diagram with positions A = 5 m and B = 5 m, answer the following: a) X (0,B) 1 2 (0,0) 3 (A,B) DIAGRAM NOT TO SCALE Write the expression of basis function associated with point 1, in terms of x and y Submit part Unanswered b) The displacement of node 3 is 0.3 m in the x direction, and 0 in the y. All other node displacements are zero. What is the normal strain component across the element? Submit part Unansweredarrow_forward
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