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- documentclass[12pt, a4paper]{article}
- usepackage[top=0.8 in,bottom=0.8 in,left=0.5 in,right=0.5 in]{geometry}
- usepackage[utf8]{inputenc}
- usepackage{amsmath}
- usepackage{amsfonts}
- usepackage{amssymb}
- usepackage{graphicx}
- usepackage[dvipsnames]{xcolor}
- usepackage{tikz}
- usetikzlibrary{calc,shapes}
- usepackage{parskip}
- begin{document}
- begin{aligned}[t]
- (1)~2x-y+z &= 9&\
- 3x-y+z&= 6&\
- 4x-y+2z&= 7&\
- -x+y-z&= 4&
- end{aligned}
- begin{aligned}[t]
- (2)~x+y+z &= 6&\
- x-y+2z&= 5&\
- 3x+y+z&= 8&\
- 2x-2y+3z&= 7&
- end{aligned}
- begin{aligned}[t]
- (3)~3x+3y+2z &= 1&\
- x+2y+0z&= 4&\
- 0x+10y+3z&= -2&\
- 2x-3y-z&= 5&
- end{aligned}
- end{document}
- $$A = begin{bmatrix}
- 1 & 0 & 0 \[0.3em]
- 0 & 1 & 0 \[0.3em]
- 0 & 0 & 1
- end{bmatrix}qquad qquad qquad qquad qquad qquad qquad qquad qquad qquad qquad A^{-1} = begin{bmatrix}
- 1 & 0 & 0 \[0.3em]
- 0 & 1 & 0 \[0.3em]
- 0 & 0 & 1
- end{bmatrix}$$
- begin{flalign*}
- (1)begin{bmatrix}
- 1 & 0 & 0 \
- 0 & 1 & 0 \
- 0 & 0 & 1
- end{bmatrix} & & & & &
- rho(A)=2
- end{flalign*}
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