X matriks persegi berordo 2×2 yang memenuhi persamaan ×[7 9] = [-1 2] adalah.... 3 4 0 -3

jawab

[ X ] [7..9||3..4] = [-1..2||0..-3]

[tex]x\,=\, \left[\begin{array}{ccc}-1&2\\0&-3\end{array}\right] \left[\begin{array}{ccc}7&9\\3&4\end{array}\right] ^{-1][/tex]

[tex]x\,=\, \left[\begin{array}{ccc}-1&2\\0&-3\end{array}\right] [\frac{1}{7(4)-3(9)}] \left[\begin{array}{ccc}7&9\\3&4\end{array}\right] [/tex]

[tex]x\,=\, \left[\begin{array}{ccc}-1&2\\0&-3\end{array}\right] [\frac{1}{28-27}] \left[\begin{array}{ccc}4&-9\\-3&7\end{array}\right] [/tex]

[tex]x\,=\, \left[\begin{array}{ccc}-1&2\\0&-3\end{array}\right]\left[\begin{array}{ccc}4&-9\\-3&7\end{array}\right][/tex]

[tex]x\,=\, \left[\begin{array}{ccc}-10&23\\9&-21\end{array}\right][/tex]