JEE Matrices (1)

Algebra Level 4

A\text A and B\text B are two square matrices such that A2B=BA\text A^2 \text B = \text{BA}.

If value of (AB)10\text{(AB)}^{10} can be expressed in the form AkB10\text A^k \text B^{10}, find the value of k+1128\dfrac {k+1}{128}.

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