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Let a and b be real numbers. Consider 3 × 3 matrix A such that A 2 = 3 A + a I . If A 4 = 21 A +β I , then

Q1

Let a and b be real numbers. Consider 3 × 3 matrix A such that A² = 3A + aI. If A⁴ = 21A +βI, then

a

a = 1

b

a = 4

c

b = 8

d

b = –8

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