darkghostmist darkghostmist
  • 25-04-2019
  • Mathematics
contestada

Calculate A^2, given A=[tex]Given A=[−3 4/-2 0}

Calculate A2 given AtexGiven A3 42 0 class=

Respuesta :

gmany
gmany gmany
  • 25-04-2019

Answer:

[tex]\large\boxed{A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]A=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] \cdot\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] =\left[\begin{array}{ccc}(-3)(-3)+(4)(-2)&(-3)(4)+(4)(0)\\(-2)(-3)+(0)(-2)&(-2)(4)+(0)(0)\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right][/tex]

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