Q.

Let A=(abcbcacab) ; Trace (A) = 9; a, b, c are positive integers such that ab + bc + ca = 26. Let A1 denote adjoint of A, A2 denote the adjoint of A1 ……..and so on. If the value of |A4| is M then which of the following statement(s) is(are) CORRECT. 

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a

last two digits of M are 6 and 1

b

last three digits of M are 8, 6 and 1

c

M=324

d

M=348

answer is A, C.

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Detailed Solution

a+b+c=9,ab+bc+ca=26

|A|=3abca3b3c3=27

|A1|=|A|2|A4|=348=M

Last three digits are 3, 6, 1

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