1 2-1

5) Find the inverse the square matrix A= 3 8 2 using only elementary row
49 -1
transformations. (6 Marks)
| (1
6) a) Consider the following two bases of R, S—35),and S' -12), Find the
2
Change of Basis matrix P from S to the new basis S' (3 Marks)

b) Find a least squares solution to the inconsistent system AX—B whereA= 0 1 ;

1
(3 Marks)

PART C
41 -1
7) GivenA = 2 5 —2, Find a matrix P such P'APisdiagonal (8 Marks)
112

8) Write a short note on the multiresolutionanalysis property of wavelet transform.
(8 Marks)

2 2 3

8 2 3
9) a) Find the Jordan canonical form ofthe matrixA=t—-1 -2 -213 (4 Marks)
b)Write a short note on orthogonal property of Fourier Basis. (4 Marks)