Q12 of 307 Page 6

If satisfies A4 = λA, then write the value of λ.

Given:


and it satisfies the matrix equation A4 = λA


Firstly, we find the A4







= 2 A


So, A4 = A2 × A2


⇒ A4 = 2A × 2A


⇒ A4 = 4A2


⇒ A4 = 4 × 2A [∵A2 = 2A]


⇒ A4 = 8A


∴ λ = 8


Hence, the value of λ = 8


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