Mathematics & Statistics
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-3a 1
Exam-type
32. Let A =
1)
and B=
(6)
where a and b are constants.
a
(a) Find the range of values of a such that A is a non-singular matrix.
(b) Suppose that A is a non-singular matrix.
(i) Find A-l in terms of a.
(ii) Find ABA- in terms of a and b.
(iii) It is given that b= Using (b)(ii), find B" in terms of a and n, where n is a positive integer.
a
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