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- The determinant of the lower trigonometric matrix is not equal to the determinant of the upper trigonometric matrix. true FalseIf C the Matrix multiplication, then Amxp. Bp xn=Cmxn Ture FalsePerform the following Matrix Operations for the predefined matrices. Given the System of equations: 2х + 4y — 5z + Зw %3D —33 3х + 5у—2z + бw %3D — 37 х — 2у + 4z — 2w 3 25 Зх + 5у-3z + Зw = -28 Write the systems as Ax = b, where A is the coefficient matrix and b is the vector for the constants. 1. Encode the Matrix A and the column vector b. 2. Solve for Determinant of A. 3. Find the Inverse of A. 4. Form the Reduced Row Echelon of A. 5. Find the number of rows and number of columns of Ab. 6. Find the sum of the columns of A. 7. In each of the columns of A, find the highest values and its indices. 8. Augment A with b; 9. Find b\A 10. Form the Reduced Row Echelon of Ab. 11. Extract the Last Column of the Reduced Row Echelon Form of Ab. 12. Create a matrix A whose elements are the same as matrix A, but the first column is the column vector b. 13. Create a matrix A whose elements are the same as matrix A, but the second column is the column vector b. 14. Create a matrix A whose elements…
- Using MATLAB Coding, determine the roots of the following function using matrix algebra involving the Regula-falsi Method: f(x) = sin x in the proximity of x = 6 Note: You may or may not start with x = 6 as an initial guess Additionally, please give comments/guide on the process.Find the determinant of the matrix, a b C ... 2d +a 2e+b 2f+c h i where a •.. d f h e = 7. A) 7 В 35 21 14Given the following matrices. Solve for the following: 15 25 58 81 2 14 A = 10 11 5 B = 42 3 -1 7 -6 42 15 23 26 1. A-B 2. (B+C)-¹ 3. (AC)T 4. BA 5. C² 5 6 78 C = 48 34 19 8 20 -7