JEE Matrices (1)

Algebra Level pending

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

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

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