Linear Algebra Lkhagva -- Sage

A=matrix(4, 4, [1, -4, 2, 8, 0, 1, -5, 7, 0, 0, 1, 3, 0, 0, 0, 1]) B=matrix(3, 4, [6, 1, 8, -1, 7, 2, 7, 4, 0, 1, 0, -3]) print A.rref() print B.rref()

[1 0 0 0]
[0 1 0 0]
[0 0 1 0]
[0 0 0 1]
[    1     0     0  33/7]
[    0     1     0    -3]
[    0     0     1 -23/7]

[1 0 0 0]
[0 1 0 0]
[0 0 1 0]
[0 0 0 1]
[    1     0     0  33/7]
[    0     1     0    -3]
[    0     0     1 -23/7]

html(' $A=%s$ and $B=%s$' %(latex(A),latex(B)) )

    $A=\left(\begin{array}{rrrr} 1 & -4 & 2 & 8 \\ 0 & 1 & -5 & 7 \\ 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 1 \end{array}\right)$  and  $B=\left(\begin{array}{rrrr} 6 & 1 & 8 & -1 \\ 7 & 2 & 7 & 4 \\ 0 & 1 & 0 & -3 \end{array}\right)$

and

html(' $A^{-1}=%s$ ' %(latex(A^(-1))) )

    $A^{-1}=\left(\begin{array}{rrrr} 1 & 4 & 18 & -90 \\ 0 & 1 & 5 & -22 \\ 0 & 0 & 1 & -3 \\ 0 & 0 & 0 & 1 \end{array}\right)$

Linear Algebra Lkhagva

1934 days ago by mathmodel2017