1 k 3 Let A and B are 3x3 matrices where A = 261 04 k (i) Find the value(s) of k if A is a nonsingular matrix. 8 -4 8 (ii) If k 2 and its cofactor matrix, CF = 8 2 -4 find A-1 by using the -16 5 2 adjoint method.

1 k 3 Let A and B are 3x3 matrices where A = 261 04 k (i) Find the value(s) of k if A is a nonsingular matrix. 8 -4 8 (ii) If k 2 and its cofactor matrix, CF = 8 2 -4 find A-1 by using the -16 5 2 adjoint method.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 80E

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Question

1 k 3
Let A and B are 3x3 matrices where A = 261
04 k
(i)
Find the value(s) of k if A is a nonsingular matrix.
8
-4
8
(ii)
If k 2 and its cofactor matrix, CF =
8
2
-4
find A-1 by using the
-16
5
2
adjoint method.

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