Theory of Intelligence
11TH•Mathematics•Matrices And Determinants•Question 3

Part (i): Associativity $(AB)C = A(BC)$

If $A=\begin{bmatrix}-i&2i\\1&-i\end{bmatrix}$, $B=\begin{bmatrix}-i&1\\2i&1\end{bmatrix}$ and $C=\begin{bmatrix}2i&2i\\-i&i\end{bmatrix}$, then show that:

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Part (i): Associativity (AB)C=A(BC)(AB)C = A(BC)

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(ii)
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