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[10] 4. By applying the adjoint matrix method determine A-1 and then, by using this matrix,...
[10] 4. By applying the adjoint matrix method determine A- and then, by using this matrix,...
[10] 4. By applying the adjoint matrix method determine A- and then, by using this matrix, solve the system Ax = b if A= 1 2 2 3-22 2 0 3 b= 0
For the following system of equations 2x1 -X2 + X3 15 2x1- x3-3 3X1 + 6X2-2x3...
For the following system of equations 2x1 -X2 + X3 15 2x1- x3-3 3X1 + 6X2-2x3 =-10 a. (2 pts) Write the linear system in the format, Ax b. b. (6 pts) Determine the adjoint matrix of the matrix A. c. (2 pts) Determine the inverse matrix using the adjoint matrix of part b. d. (2 pts) Verify your results for the inverse matrix obtained in c. e. (2 pts) Solve the system of equations using the inverse matrix verified...
4. Solve the following system of linear equations using the inverse matrix method. 1 y =...
4. Solve the following system of linear equations using the inverse matrix method. 1 y = 1 2 , 3 2 -r- 1 5 4 a) x+y +z= 6 x-y-3z=-8 x+y- 2z=-6 b) Solve the following system of linear equations using Cramer's Rule. 5. 2 1 -X- 3 2 1 3 X+-y-1 5 4 y = 1 a) x+y+z= 6 x-y-3z=-8 x+y- 2z = -6 b)
4. Solve the following system of linear equations using the inverse matrix method. 1...
2,3, 6, 7 1. Without matrices, solve the following system using the Gaussian elimination method +...
2,3, 6, 7
1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
1. If the ax matrix A has eigenvalues ....., what are the eigenvalues of a) 4*,...
1. If the ax matrix A has eigenvalues ....., what are the eigenvalues of a) 4*, where & is a positive integer. AE? A ' b) ', assuming the inverse matrix exists. c) A' (transpose of ). d) a, where a is a real number. e) Is there any relationship between the eigenvalues of 'A and those of the A matrix? Hint: Use to justify your answer. 2. Compute the spectral norm of 0 0 b) c) c) 1-1 0...
LU Decomposition Gauss Method EX4: Solve the same problem using the Gauss method. Example 4-6: MATLAB...
LU Decomposition Gauss Method EX4: Solve the same problem using the Gauss method. Example 4-6: MATLAB user-defined function for solving a system of equations using LU decomposition with Crout's method. ( Y Suggestions Use the code from the Crout's method. Discard the LUdecomp Crout module and leave the rest. Modify Gauss Pivot to store all the ratios Create the lower triangular matrix Confirm that L.U = A. Solve the problem by the LU double substitution Determine the currents ij, in,...
Related to maths Use Gaussian elimination method to evaluate the three currents. Question 2 The matrix...
Related to maths
Use Gaussian elimination method to evaluate the three currents. Question 2 The matrix A of the system AX = 2X is given by 10-1 A = 31 4 0 2 2 (a) Find the eigenvalues of A. (b) Determine the corresponding eigenvectors of A. in United States
2 9 11 and b (1 point) Let A -6 The QR factorization of the matrix...
2 9 11 and b (1 point) Let A -6 The QR factorization of the matrix A is given by: 2 1 6 17 äv2 3 1 1 0 3 2 3 21 V2 3 áva (a) Applying the QR factorization to solving the least squares problem Ax b gives the system: X = 0 2 3 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. x=
PROBLEM 3 (20%) Evaluate the following determinants: PROBLEM-i120%) Given the matrix 3 3 1 (a Fin...
help me solve problem 4,5 & 6
PROBLEM 3 (20%) Evaluate the following determinants: PROBLEM-i120%) Given the matrix 3 3 1 (a FindAby applying Gauss-Jordan elimination 3400 -3 2 5 2 -2I 1 500 0-2 3600-3 7 -700 1-2 (b) Find by applying determinant and matrix adjoint formula PROBLEM 5110961 Let Ade 2. evaluate 3a -3b -3c (b) ICId e f (c) IDIbeh (d)IE (e) 13A [ABC! IDEI PROBLEM 6 120%) Find a way to linearise the following equations, and...
e-30 sin() -1 backward substitution method 4. Given A = sin(t) cos(t) tanto find the following...
e-30 sin() -1 backward substitution method 4. Given A = sin(t) cos(t) tanto find the following 0 a. Matrix of minors (2pts) b. Matrix of cofactors (2pts) c. Adjoint matrix (2pts) d. Determinant of A (2pts) Inverse of A using the Adjoint matrix. (2pts) e. 1 v T.
[10] 4. By applying the adjoint matrix method determine A- and then, by using this matrix, solve the system Ax = b if A= 1 2 2 3-22 2 0 3 b= 0
For the following system of equations 2x1 -X2 + X3 15 2x1- x3-3 3X1 + 6X2-2x3 =-10 a. (2 pts) Write the linear system in the format, Ax b. b. (6 pts) Determine the adjoint matrix of the matrix A. c. (2 pts) Determine the inverse matrix using the adjoint matrix of part b. d. (2 pts) Verify your results for the inverse matrix obtained in c. e. (2 pts) Solve the system of equations using the inverse matrix verified...
4. Solve the following system of linear equations using the inverse matrix method. 1 y = 1 2 , 3 2 -r- 1 5 4 a) x+y +z= 6 x-y-3z=-8 x+y- 2z=-6 b) Solve the following system of linear equations using Cramer's Rule. 5. 2 1 -X- 3 2 1 3 X+-y-1 5 4 y = 1 a) x+y+z= 6 x-y-3z=-8 x+y- 2z = -6 b)
4. Solve the following system of linear equations using the inverse matrix method. 1...
2,3, 6, 7
1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
1. If the ax matrix A has eigenvalues ....., what are the eigenvalues of a) 4*, where & is a positive integer. AE? A ' b) ', assuming the inverse matrix exists. c) A' (transpose of ). d) a, where a is a real number. e) Is there any relationship between the eigenvalues of 'A and those of the A matrix? Hint: Use to justify your answer. 2. Compute the spectral norm of 0 0 b) c) c) 1-1 0...
LU Decomposition Gauss Method EX4: Solve the same problem using the Gauss method. Example 4-6: MATLAB user-defined function for solving a system of equations using LU decomposition with Crout's method. ( Y Suggestions Use the code from the Crout's method. Discard the LUdecomp Crout module and leave the rest. Modify Gauss Pivot to store all the ratios Create the lower triangular matrix Confirm that L.U = A. Solve the problem by the LU double substitution Determine the currents ij, in,...
Related to maths
Use Gaussian elimination method to evaluate the three currents. Question 2 The matrix A of the system AX = 2X is given by 10-1 A = 31 4 0 2 2 (a) Find the eigenvalues of A. (b) Determine the corresponding eigenvectors of A. in United States
2 9 11 and b (1 point) Let A -6 The QR factorization of the matrix A is given by: 2 1 6 17 äv2 3 1 1 0 3 2 3 21 V2 3 áva (a) Applying the QR factorization to solving the least squares problem Ax b gives the system: X = 0 2 3 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. x=
help me solve problem 4,5 & 6
PROBLEM 3 (20%) Evaluate the following determinants: PROBLEM-i120%) Given the matrix 3 3 1 (a FindAby applying Gauss-Jordan elimination 3400 -3 2 5 2 -2I 1 500 0-2 3600-3 7 -700 1-2 (b) Find by applying determinant and matrix adjoint formula PROBLEM 5110961 Let Ade 2. evaluate 3a -3b -3c (b) ICId e f (c) IDIbeh (d)IE (e) 13A [ABC! IDEI PROBLEM 6 120%) Find a way to linearise the following equations, and...
e-30 sin() -1 backward substitution method 4. Given A = sin(t) cos(t) tanto find the following 0 a. Matrix of minors (2pts) b. Matrix of cofactors (2pts) c. Adjoint matrix (2pts) d. Determinant of A (2pts) Inverse of A using the Adjoint matrix. (2pts) e. 1 v T.
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