matrix 5

matrix 3

Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.

Q4 4 Points 3 Let A = 5 -1 Let S : R³ → R² be the linear transformation whose standard matrix is A. Let U : R² → R³ be the linear transformation whose standard matrix is AT (the transpose of A). Let P: R³ → R³ be the linear transformation which first applies S and then applies U. Let Q: R² → R² be the linear transformation which first applies U and then applies S. Find the standard matrix of P and the standard matrix of Q. Clearly indicate which is which in your work. Please select file(s) Select file(s) Save Answer

Q3 4 Points Let T: R4 → R³ be the linear transformation defined by the formula 11 x1+x3+2x4 T x2 + 3 + 24 Is −1 +222 +23 I i. (2 points) Find the standard matrix of T. ii (2 points) Determine if I is one-to-one and determine if I' is onto. Please select file(s) Select file(s)

x 1.1 1.2 1.3 f 3.1 3.9 य find numerical f'(1) by using approximation.

No chatgpt pls will upvote Already got wrong chatgpt answer    Plz no chatgpt downvote.

Q/Let G be a simple graph-show that if Gis not connected, then it is complement is Connected.

Q/prove that if d (u,v) >2 then there is a vertex z in G st. d (u,v) = d(u, z)+d(z₁v)