- #1

- 21

- 0

I have no idea how to approach this problem.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter jtruth914
- Start date

- #1

- 21

- 0

I have no idea how to approach this problem.

- #2

- 611

- 24

I don't understand your notation. Could you please clarify what you've written?

I have no idea how to approach this problem.

- #3

.Scott

Homework Helper

- 2,686

- 989

When you transpose [itex]A[/itex]You are flipping the rows and columns.

When you multiply [itex]A^{T}A[/itex] you would generate each element [itex]b_{ij}[/itex] will be the dot product of row i of the first matrix and column j of the second matrix. Since the first matrix is the transposition of the second, row i of that transposition will be column i of the original. So each element will be the dot product of two column vectors:

[itex]b_{ij}[/itex]=[itex]a_{i}[/itex]·[itex]a_{j}[/itex]

Using matrix notation, this is:

[itex]b_{ij}[/itex]=[itex]a^{T}_{i}[/itex][itex]a_{j}[/itex]

Share: