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Let A, B, and C be non-singular 2x2 matrices, I the 2x2 identity matrix and k a scalar. The following statements are incorrect. For each statement, write down the correct version of the right hand side.

(a) (A+B)2 = A2+2AB+B2

(b) (A-kI)3 = A3-3kA2+3k2A-k3

(c) CA=B C=B/A

Please show logical and detailed work.

Respuesta :

The answer to your question is A ;)
caylus

Answer:

Step-by-step explanation:

(a)

[tex](A+B)^2=A^2+AB+BA+B^2\\[/tex]

(b)

[tex](A-kI)^3=A^3-3kA^2+3k^2A-k^3I[/tex]

(c)

[tex]CA=B\ \Longrightarrow\ C=B*A^{-1}[/tex]

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