Question

Determinati matricea X ∈ M₂(R) ,stiind ca A · X= B.
$A= \left[\begin{array}{ccc}1&2\\0&2\\\end{array}\right] si B= \left[\begin{array}{ccc}-1&-2\\2&0\\\end{array}\right]$

Answer 1

$\left[\begin{array}{ccc}1&2\\0&2\\\end{array}\right] * \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]= \left[\begin{array}{ccc}-1&-2\\2&0\\\end{array}\right]$
[tex] \left \{ {{a+2c=-1} \atop {b+2d=-2}} \right \left \{ {{2c=2} \atop {2d=0}} \right. =\ \textgreater \ c=1,d=0,a+2=-1,a=-3,b=-2 [/tex]