2 3
12. If A = 3 -2 1 then show that A3 - 23A - 401 = 0
4 2
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if A = 3 - 2 = 1
therefore A = 1
A3 - 23A - 401 = 421
using the value A = 1
(1) 3 - 23(1) - 401 = 0
3 - 23 = 0 + 401
-20 = 401
0 = 401 + 20
0 = 421
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