Question

If A, B and C are three square matrices of the same size such that B = CAC^–1, then CA³C^–1 is equal to –

• A. B
• B. B²
• C. B³
• D. B⁹

Answer 1

Answer: (C)

B³

Answer 2

Ž BC = CA \ CA³ C^–1 Ž C^–1.B.C.=A= C.A.A.A.C^–1

Ž C(C^–1.B.C.)(C^–1.BC)(C^–1.BC).C^–1

Ž (±)B.(I).(2).I(2).I

= B³