Please follow the directions and show steps.
Please follow the directions and show steps. A2 use MATLAB, write down the MATLAB command you used. a. For the matrix A3 -4 7calculate the norm | 2 4 -1 8 0-1 b. For the matrix B0 0 4 calculate the n...
Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make...
You should test out your script using the following matrices. 2 3 1 2 3 1 C D- 3 2 B- A- -3 8 4 8 2 4 4 1 You may not use any special MATLAB tools. Instead, work symbolically and derive general expressions for the eigenvalues and the eigenvectors. For instance, you may not use the SOLVE function. If you are not sure whether or not a particular function is available to you, just ask Include your hand...
Please show matlab editor and command window B. (4 pts) Use the : operator to create the vectors x [2.5,1.50.5,-0.5,-1.51 and y [0.4,0.8,1.2,1.6,2], then use them in the following expression to compute vector z using element-by-element calculations C. (8 pts) A 70 lb bag of rice is being pulled by applying a force F at an angle θ as shown. The force required to drag the bag is given by: θ μ sin θ + cos θ Where u-0.35 is...
For MATLAB users. Can you please type the answers for the MATLAB sections. Consider the RLC circuit where R - 5, C- 1, L- 4 and Vs - 8 1. Use circuit analysis laws to show that the resistor's voltage and induc- tor's voltage can be modelled as the system of ODEs Vi VL RC 2. Solve the eigenvalues and eigenvectors of the coefficient matrix in the system of ODEs. 3. Verify your answer for question (2) by using the...
can you answer both #1 (a&B) and #2 please 1. Write MATLAB code to do the following: (4 pts) a) Find the area of the circles where r=[7, 8, 10] using A = tr2 b) Find the distance traveled by a ball falling in the air is given by the equation x=x0+vot+ at?. Calculate the position of the ball at time t = 5s, XO = 10m, vo= 15 m/s, and a = 9.81 m/sec^2. Write MATLAB code to accomplish...
2. (a) Let A be the matrix A -4 21 8 -40 Write down the 3 x 3 permutation matrix P such that PA interchanges the 1st and 3rd rows of A. Find the inverse of P. Use Gaussian elimination with partial pivoting to find an upper triangular matrix U, permutation matrices Pi and P2 and lower triangular matrices Mi and M2 of the form 1 0 0 Mi-1A1 10 a2 0 1 M2 0 0 0 b1 with ail...
Question is highlighted, thank you! 2. On each interval I ]. i-0,..n 1, with length h, the cubic spline is given by Write down the (4n) conditions that determine the nat ural cubic spline and the clamped cubic spline. Recall. on each interval 1.-Fez,+1],に0.- n-1. with length h, the cubic spline is given by The equations which define a cubic spline (using the textbook's notation and that used in dass), that is the coefficients satisfy 41- 3h, and the c,...
Intro Step 11 We will be working with the following matrix [1 2 3 0 0 0 0 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 3 0 0 0 3 2 1 2 0 0 0 0 3 2 1 0 0 0 0 0 3 2 0] 0 0 0 0 3 2 1 Use MATLAB to find the...
4. (Extra credit, all hand work. Use your paper and attach.) Let A-and assume a,b,ct are positivs. 0 b c (a) Let f) denote the characteristic polynomial of A. Calculate it and show work. You should get (b) Prove that A has only one real eigenvalue, that it is positive, and that the other two eigenvalues of A must be conjugate complex numbers. Let eigenvalues. λ denote the real positive eigenvalue and let λ2 and λ3 denote the other two...
use MatLab to answer these questions 1. (10 points) Create an m-file called addup.m Use a for loop with k = 1 to 8 to sum the terms in this sequence: x(k) = 1/3 Before the loop set sumx = 0 Then add each term to sumx inside the loop. (You do not need to store the individual values of the sequence; it is sufficient to add each term to the sum.) After the loop, display sumx with either disp()...