Problem I Let f: R³ → R2 be the function given by the formule ([:]) (a) Find a formula for the Jacobian matrix x²y - x XZ yz³ + z ]
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- i need help finding the initial value problem using matrices.Tnx. x1'= -x1-4x2 x2'= x1-x2 initial condition: x(0) = (41)In this Problem the Eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x’ = Ax.The Attached coefficient matrix A in Problem is the sum of a nilpotent matrix and a multiple of the identity matrix. Use Matrix Exponential Solutions theorem to solve the given initial value problem.
- I have ans but I need explation Solution: The rows of a Jacobian matrix always depends on the dimension of x and the number of columns depends on the parameters. Therefore, the answer is Dimension of x (for rows). As many parameters (for column). (a) What is the 2 × 2 matrix P that projects v = x y onto the x axis, i.e. takes x y to x 0 ? Is P invertible? (b) Let ` be the line from problem 2(b). Find the 2 × 2 matrix that projects v = x y onto ` by using a composition method similar to problem 2(b). Please solve both part , thank you2(6) find the determinant of the given elementary matrix by inspection.
- X = 1, 1.4, 3.2, 5 Y = 1.2, 3, 2.8, 4 Directly fit the data by a single 3rd-order polynomial that runs through all of the data points. It isrecommended that you use the Lagrange interpolation method (Sec 6.5.1), but a solution obtained bydirectly solving the 4 x 4 matrix equation (Sec 6.5, pp. 211-212) will also be acceptable. Show yourprocedure. Plot the 3rd-order polynomial and the original data points in a single figure.Matrices and Determinants. Please solve Problem number 2 only. Using Pivotal Element Method, Chio's Method and Laplace Development Method. Thanks!the problem is attached. please do full matrixes and full problem as its from one! thx
- 2 x + y + z = 2 −3x+3y−3z= 9 −x +7y +3z = −11 Compose the augmented matrix corresponding to this SLE. By transforming the augmented matrix to form an echelon form matrix, solve the SLE. Detail each of the transformation steps. Provide with a geometric interpretation of this SLE and its solution.The problem with Diagonal Canonical form is that the elements of the A, B, and C matrices are often complex (for systems with 2nd order dynamics). This poses a problem when modelling in computer packages, such as Matlab. True or false ???? Clearly explain with reason...1/2a-b-5c =2 2b -5/2c = -4 −a + 8b+5/2c = -16 Find L and U matrix and Apply LU decomposition .