csat-suneung 2005 Q2

csat-suneung · South-Korea · csat__math-humanities 2 marks Matrices Linear System and Inverse Existence
For two matrices $A = \left( \begin{array} { l l } 1 & 2 \\ 2 & 5 \end{array} \right) , B = \left( \begin{array} { l l } 2 & - 3 \\ 1 & - 2 \end{array} \right)$, what is the sum of all components of matrix $X$ that satisfies $A X = B$? [2 points]
(1) $- 2$
(2) $- 1$
(3) 0
(4) 1
(5) 2
For two matrices $A = \left( \begin{array} { l l } 1 & 2 \\ 2 & 5 \end{array} \right) , B = \left( \begin{array} { l l } 2 & - 3 \\ 1 & - 2 \end{array} \right)$, what is the sum of all components of matrix $X$ that satisfies $A X = B$? [2 points]\\
(1) $- 2$\\
(2) $- 1$\\
(3) 0\\
(4) 1\\
(5) 2