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This is a question for the class Advanced Linear Algebra. Please try not to write in cursive as it is hard to read, and please put as much detail in as you can and explanation.

(3) §5.6. Suppose Ui, U2, , Uk are n × n unitary matrices. Show that UiU2 Up is also unitary.

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Qiven that Uauuk ane nxn unitaxy matix Unitary mator uun_工4teu us traaspo. u in aso unitary To show u, u,u again on (u,4 u4k

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