MTH 342-020 OSU Spring 2022
Written Homework #2
线性代数作业代写 In general, just writing down an answer without showing the intermediate steps toward is not suffiffifficient for credit.
Turn this in by making a pdf scan of your work and submitting it to Gradescope by 11:59 pm on the due date. This needs to submitted as a variable length submission.
How to write up homework. Show your work and explain it. In general, just writing down an answer without showing the intermediate steps toward is not suffiffifficient for credit.
Reading: 线性代数作业代写
- Subsections 8.1 and 8.2 on Page 69 of LADW,
- Sections 4 and 5 of Chapter 1 in LADW, pages 17-23.
- Chapter 2 of the UC Davis Text.
(1) Find the standard matrix for the linear transformation T : R 2 → R 2 defifined by reflflection across the line y = mx (m ∈ R). You are being ask to generalize the example from pages 20 and 21 in LADW, which considers the special case of reflflection across the line y = (1/3)x.
(2) Consider the linear transformation P : R 2 → R 2 given by 线性代数作业代写
where T is the linear transformation from (1).
(a) Find the standard matrix for P.
(b) Give a geometric description of P : R 2 → R 2 .
(c) Verify that P ◦ P = P by squaring the standard matrix for P.
(3) Give a geometric description of the linear transformation S : R 3 → R 3 defifined
by S(
) = A, where
You could also let ~x = (x, y, z)T to agree with the commonly used names for the coordinate axes: x-axis, y-axis, z-axis, which you may want to reference in your geometric description.
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