Unformatted text preview: given operations in are performed .
. In the following, let A ,B and C . . Calculating the generic element,
A BC The last summation is recognized as
which is the , -th element of the matrix AB . Likewise, ________________________________________________________________________
page 345 —————————————————————————— CHAPTER 7. —— AB C AB
. 9. Indeed,
xy y x, and
x,y y,x 11. First augment the given matrix by the identity matrix:
Divide the first row by , to obtain Adding times the first row to the second row results in Divide the s Finally, adding row by , to obtain times the second row to the first row results in ________________________________________________________________________
page 346 —————————————————————————— CHAPTER 7. —— Hence 13. The augmented matrix is Combining the elements of the first row with the elements of the second and third rows
results in Divide the elements of the second row by
, and the elements of the third row...
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- Spring '08
- Linear Algebra, eigenvector