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?
\[{\text{A}} = \left( {\begin{array}{*{20}{c}}
1&4 \\
{\text{b}}&{\text{a}}
\end{array}} \right)\]
A. a = 6, b = 4
B. a = 4, b = 6
C. a = 3, b = 5
D. a = 5, b = 3
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
Related Questions on Linear Algebra
A. 3, 3 + 5j, 6 - j
B. -6 + 5j, 3 + j, 3 - j
C. 3 + j, 3 - j, 5 + j
D. 3, -1 + 3j, -1 - 3j
A. 1024 and -1024
B. 1024√2 and -1024√2
C. 4√2 and -4√2
D. 512√2 and -512√2
Join The Discussion