Matrix Algebra - Tutorial 3

1
Matrix Algebra - Tutorial 3
Find the determinant, adjoint and inverse of the
following matrices.
15.
2
Solve the following equation using the inverse of
its square matrix
16.
(Hint to minimise arithmetic errors, divide by
the determinant at last stage)
Solve the following equation using the inverse of
its square matrix
17.
3
Show that for any matrix A and B a) (AB)-1
B-1A-1 assume A and B can be
multiplied b) (A-1)T (AT)-1.
18.
Find, by the transpose of the matrix of cofactors
method, the inverse of
19.
4
Answers
15.
5
(No Transcript)
6
16. F 16, R 10. 17. x 2, y 3 and z
1 18. a) Do by multiplying both sides by AB
b) Do by multiplying both sides by AT .
19.