please use matlab software and show the screenshot of the input and output in 9 onwards
1. Generate a lx 3 matrix whose entries are the coefficients of the polynomial N() 25*31-1. 2. Generate a 1x 4 matrix whose entries are the coefficients of the polynomial D(x)=x' +6+ +15-6 3. Determine the product Nis) 4. Assume a rational function II (s) = determine the partial fraction expansion of 0() Hs). 3. Determine the poles and zeros of His Determine the roots of the numerator and denominator polynomials.) 6. What is the value of Asifx?? 7. Generate the following matrices: B Il A 2-13 1 2 0 C-030 002 D-1 If possible, determine the following: a. AB b.BA c. A'A e. Show that I,CECI, EC. d. AAC f. Eigenvalues of C *. Generate a plot of the function ()=1-097-cos() for cycles 9. Solve the system of lincar equations x+2y - 3+2w2 2y6w1 2x+w=0 y 6-1 10. Determine the rank of the coefficient matris developed in No 9 using the function cank, 11. Augment the constant matrix in No. 9 to the coefficient matrix also in No. 9. Determine the Reduced Row Echelon Form of this augmented matrix by using the function rref. What is the significance of this result? 12. Generate the vector r-[0 0 0 1 1 2 2 0 0 0 without typing the entries manually, and by using the functions ones and zeros only 13. Determine the size of the matrix generated in No. 9 using the function size. 14. Determine the length of the matrix generated in No 9 using the function length 15. What is the difference between size and length? 1. Generate a 1x3 matrix whose entries are the coefficients of the polynomial N()-2x+33-1 2. Generate a 1x 4 matrix whose entries are the coefficients of the polynomial D(s) = + 6x +115-6 3. Determine the prochet xD) Nis) 4. Assume a rational function 17(3) = determine the partial fraction expansion of Dis H) S. Determine the poles and zeros of Ps) (Determine the mood of the numerator and denominator polynomials) 6. What is the value of fx ?? 7. Generate the following matrices A B 120 C=0-30 0021 If possible, determine the following: a AB b.BA C. APA e. Show that I,CECI, C. d. A'AC 1. Eigenvalues of * Generate a plot of the function (1)=1-0.99cos) for 5 cycles 9. Solve the system of linear equations +2y-322 2y+6w1 2x+W0 10. Determine the rank of the coellicient matrix developed in No. 9 using the function rank. 11. Augment the constant matrix in No 9 to the coefficient matrix also in No 9. Determine the Reduced Row Echelon Form of this augmented matrix by using the function rret. What is the significance of this result? 12 Generate the vector x[0 0 0 1 1 2 2 0 0 0 without typing the entries manually, and by using the functions oncs and zoros only 13. Determine the size of the matrix generated in No. 9 using the function site 14. Determine the length of the matrix generated in No. 9 using the function length 15. What is the difference between size and length
