Solution: Given
a).
b). Now eigen values of are given by
Now, eigen vector corresponding to is given by
by choosing , we get
Now, eigen vector corresponding to is given by
by choosing , we get
Now, eigen vector corresponding to is given by
by choosing , we get
c). Now, singular values of are given below
Which are the required singular values.
d). Now the matrix in a singular value decomposition of is given by
Now, a matrix of orthonormal basis of eigen vector is given by
we now find the matrix .
the first column of is given by
the second column of is given by
the third column of is given by
Thus
Hence, the singular value decomposition is given by
Which is the required solution.
This complete the solution.
6. (20") Given the 3 x 3 matrix A- 20 00 (a) compute A'A. (b) find...
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