csat-suneung 2008 Q5

csat-suneung · South-Korea · csat__math-humanities 3 marks Matrices Linear System and Inverse Existence

For the matrix $A = \left( \begin{array} { c c } 2 n & - 7 \\ - 1 & n \end{array} \right)$, what is the natural number $n$ such that all components of the inverse matrix $A ^ { - 1 }$ are natural numbers? [3 points]
(1) 1
(2) 2
(3) 3
(4) 4
(5) 5

For the matrix $A = \left( \begin{array} { c c } 2 n & - 7 \\ - 1 & n \end{array} \right)$, what is the natural number $n$ such that all components of the inverse matrix $A ^ { - 1 }$ are natural numbers? [3 points]\\
(1) 1\\
(2) 2\\
(3) 3\\
(4) 4\\
(5) 5

Paper Questions

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