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Question

If A=[1−230],B=[−1423] and ABC=[4837], then C equals

A
166[72325729]
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B
166[54110311]
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C
166[54110311]
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D
166[72325729]
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Solution

The correct option is B 166[54110311]
A=[1230],B=[1423] and ABC=[4837]
ABC=[4837]
(AB)1(AB)C=(AB)1[4837]
C=B1A1[4837] -----(1)
B1=111[3421]
A1=16[0231]
B1A1=166[12235]
From (1)
C=166[54110311]
Hence, option B is correct.

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