Find the sampling matrix and sampling structure for R, G and B components

[s3a]

Homework Statement

The sub-questions of the question are on page 1 of this document ( https://www.docdroid.net/3iFwpy1/q2-plus-answers.pdf ), and the answers are on page 3 of the same document.

Relevant Equations

Three different pages in the same set of slides:
https://www.docdroid.net/gCTFghi/ft-msampling.pdf#page=80

https://www.docdroid.net/gCTFghi/ft-msampling.pdf#page=83

https://www.docdroid.net/gCTFghi/ft-msampling.pdf#page=84

Wikipedia article which provides the equation for the two-dimensional rotation matrix:
https://en.wikipedia.org/wiki/Rotation_matrix

Hello, everyone. :)

All I could gather is that, if I'm correct, lattices are spans of the column vectors of the matrix within the "LAT()" notation and the X and Y occurrences are unit placeholders (such as the pixel unit (since this is in the context of image processing)).

And, as an attempt to try to figure out how to do parts a and b, I'm trying to use the matrices from the Wikipedia link above to rotate the answers by –45° (and also +45°, just in case) (by left-multiplying the vectors and non-vector matrices with the rotation matrix), but doing that doesn't yield any vector or non-vector matrix from the slides which has the same ratio among its elements.

Any input would be GREATLY appreciated!

 

[scottdave]

Can you type the formulas, in question, or at least provide screenshots. I do not trust these sites you are linking to. It has some suspicious pop-ups.

 

[Mark44]

Thread locked.
@s3a, please repost the pictures inline rather than as links to web sites. As @scottdave points out, that web set displays the images with some phishy popups.