Q144
Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigen values of this matrix are -1 and 7. What are the values of a and b? \[ A = ( array*20c 1&4 \\ b& a array )\]
Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigen values of this matrix are -1 and 7. What are the values of a and b?
{\text{A}} = \left( {\begin{array}{*{20}{c}} 1&4 \\ {\text{b}}&{\text{a}} \end{array}} \right)
{\text{A}} = \left( {\begin{array}{*{20}{c}} 1&4 \\ {\text{b}}&{\text{a}} \end{array}} \right)
A.
a = 6, b = 4
B.
a = 4, b = 6
C.
a = 3, b = 5
D.
a = 5, b = 3
AnswerAnswer: Option D
Solution
Answer: Option D
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