// question: 3017 name: Inverse calculation_01 ::Inverse calculation_01::[html]

The inverse of the matrix \:

\n

$$ A \= \\left( \\begin\{array\}\{ccc\} 1 & 0 & 0\\\\0 & 1 & 0\\\\-1 & 0 & 1\\\\ \\end\{array\} \\right)$$

\n

is \:

{ ~

$$ A \= \\left( \\begin\{array\}\{ccc\} 1 & 0 & 0\\\\0 & 1 & 0\\\\-1 & 0 & 1\\\\ \\end\{array\} \\right)$$

=

$$ A \= \\left( \\begin\{array\}\{ccc\} 1 & 0 & 0\\\\0 & -1 & 0\\\\1 & 0 & -1\\\\ \\end\{array\} \\right)$$

~

$$ A \= \\left( \\begin\{array\}\{ccc\} 1 & 1 & 0\\\\0 & 1 & 0\\\\1 & 0 & 1\\\\ \\end\{array\} \\right)$$

~

$$ A \= \\left( \\begin\{array\}\{ccc\} -1 & 0 & 0\\\\0 & 1 & 0\\\\1 & 0 & -1\\\\ \\end\{array\} \\right)$$

}