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Question

Given A=∣ ∣ab2cde2flm2n∣ ∣,B=∣ ∣f2de2n4l2mc2ab∣ ∣, then the value of B/A is ...........

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Solution

Given A=∣ ∣ab2cde2flm2n∣ ∣,B=∣ ∣f2de2n4l2mc2ab∣ ∣
A=∣ ∣ab2cde2flm2n∣ ∣=2∣ ∣abcdeflmn∣ ∣
B=∣ ∣f2de2n4l2mc2ab∣ ∣
=4∣ ∣fdenlmcab∣ ∣
interchanging columns gives
=4∣ ∣deflmnabc∣ ∣
interchanging rows gives
=4∣ ∣abcdeflmn∣ ∣
BA=2

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