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The Characteristic Equation Of A=(2112)A = \left( \begin{array} { c c } 2 & - 1 \\- 1 & 2\end{array} \right)

Question 37

Multiple Choice

The characteristic equation of A=(2112) A = \left( \begin{array} { c c } 2 & - 1 \\- 1 & 2\end{array} \right) is


A) λ21=0\lambda ^ { 2 } - 1 = 0
B) λ2+4λ+5=0\lambda ^ { 2 } + 4 \lambda + 5 = 0
C) λ24λ+5=0\lambda ^ { 2 } - 4 \lambda + 5 = 0
D) λ2+4λ+3=0\lambda ^ { 2 } + 4 \lambda + 3 = 0
E) λ24λ+3=0\lambda ^ { 2 } - 4 \lambda + 3 = 0

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