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Jan 17th, 2017
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  1. documentclass[12pt, a4paper]{article}
  2. usepackage[top=0.8 in,bottom=0.8 in,left=0.5 in,right=0.5 in]{geometry}
  3. usepackage[utf8]{inputenc}
  4. usepackage{amsmath}
  5. usepackage{amsfonts}
  6. usepackage{amssymb}
  7. usepackage{graphicx}
  8. usepackage[dvipsnames]{xcolor}
  9. usepackage{tikz}
  10. usetikzlibrary{calc,shapes}
  11. usepackage{parskip}
  12. begin{document}
  13. begin{aligned}[t]
  14. (1)~2x-y+z &= 9&\
  15. 3x-y+z&= 6&\
  16. 4x-y+2z&= 7&\
  17. -x+y-z&= 4&
  18. end{aligned}
  19. begin{aligned}[t]
  20. (2)~x+y+z &= 6&\
  21. x-y+2z&= 5&\
  22. 3x+y+z&= 8&\
  23. 2x-2y+3z&= 7&
  24. end{aligned}
  25. begin{aligned}[t]
  26. (3)~3x+3y+2z &= 1&\
  27. x+2y+0z&= 4&\
  28. 0x+10y+3z&= -2&\
  29. 2x-3y-z&= 5&
  30. end{aligned}
  31. end{document}
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  47. $$A = begin{bmatrix}
  48. 1 & 0 & 0 \[0.3em]
  49. 0 & 1 & 0 \[0.3em]
  50. 0 & 0 & 1
  51. end{bmatrix}qquad qquad qquad qquad qquad qquad qquad qquad qquad qquad qquad A^{-1} = begin{bmatrix}
  52. 1 & 0 & 0 \[0.3em]
  53. 0 & 1 & 0 \[0.3em]
  54. 0 & 0 & 1
  55. end{bmatrix}$$
  56.  
  57.  
  58. begin{flalign*}
  59. (1)begin{bmatrix}
  60. 1 & 0 & 0 \
  61. 0 & 1 & 0 \
  62. 0 & 0 & 1
  63. end{bmatrix} & & & & &
  64. rho(A)=2
  65. end{flalign*}
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