csat-suneung 2011 Q3

csat-suneung · South-Korea · csat__math-humanities 2 marks Matrices Matrix Algebra and Product Properties
For two matrices $A = \left( \begin{array} { r r } 1 & - 1 \\ 1 & 1 \end{array} \right) , B = \left( \begin{array} { r r } 1 & 1 \\ - 1 & 1 \end{array} \right)$, what is the sum of all components of the matrix $A ( A + B )$? [2 points]
(1) 1
(2) 2
(3) 3
(4) 4
(5) 5
For two matrices $A = \left( \begin{array} { r r } 1 & - 1 \\ 1 & 1 \end{array} \right) , B = \left( \begin{array} { r r } 1 & 1 \\ - 1 & 1 \end{array} \right)$, what is the sum of all components of the matrix $A ( A + B )$? [2 points]\\
(1) 1\\
(2) 2\\
(3) 3\\
(4) 4\\
(5) 5