csat-suneung 2015 Q7

csat-suneung · South-Korea · csat__math-B 3 marks Linear transformations

Let the matrices representing two linear transformations $f , g$ be $\left( \begin{array} { l l } 2 & 1 \\ 4 & 2 \end{array} \right) , \left( \begin{array} { r r } 2 & 0 \\ 1 & - 1 \end{array} \right)$ respectively. When the point $( 1,2 )$ is mapped to the point $( a , 6 )$ by the composite transformation $f \circ g$, what is the value of $a$? [3 points]
(1) 1
(2) 2
(3) 3
(4) 4
(5) 5

Let the matrices representing two linear transformations $f , g$ be $\left( \begin{array} { l l } 2 & 1 \\ 4 & 2 \end{array} \right) , \left( \begin{array} { r r } 2 & 0 \\ 1 & - 1 \end{array} \right)$ respectively. When the point $( 1,2 )$ is mapped to the point $( a , 6 )$ by the composite transformation $f \circ g$, what is the value of $a$? [3 points]\\
(1) 1\\
(2) 2\\
(3) 3\\
(4) 4\\
(5) 5

Paper Questions

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