Question
Mathematics Question on Operations on Real Numbers
Let α and β be real numbers. Consider a 3×3 matrix A such that A2=3A+αI. If A4=21A+βI, then
A
α = 1
B
α=4
C
β=8
D
β=-8
Answer
β=-8
Explanation
Solution
The correct answer is β=-8
Let α and β be real numbers. Consider a 3×3 matrix A such that A2=3A+αI. If A4=21A+βI, then
α = 1
α=4
β=8
β=-8
β=-8
The correct answer is β=-8