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Assignment 8

# Assignment 8 - A x for x on the unit sphere in R 3(i ± 2 0...

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Applied Math 1411b (Linear Algebra for Engineers) Assignment 8 Not to be handed in. Quiz 3 in your lab in the week of March 7 - 11 in your tutorial will focus on this material (including the material in the Maple Questions below). 4.4 207/ 1abd, 3ad, 5, 7ac, 9b, 11, 13, 17 + TF Q abcd 4.5 216/ 1, 3, 7acd, 9abc, 13 + TF Q abcdefg 4.6 222/ 1ac, 4 (solution is (-1, 1, -1, 3)), 5ac, 7, 9, 13 + TF Q abc Maple Question: In this question you will use the Maple Tutor command found through the menus: Tools -→ Tutors -→ Linear Algebra -→ Linear Transform Plot. Ex- perimenting and giving a brief geometrical description will help you for work coming up shortly. You will use the command to plot the effect of the following matrices on vectors x . If the matrix A is 2 × 2 then plot and describe A x for x on the unit circle in R 2 . For 3 × 3 matrices A plot and describe
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Unformatted text preview: A x for x on the unit sphere in R 3 : (i) ± 2 0 0 2 ² (ii) ± 3 1 1 3 ² (iii) ± . 71-. 71 . 71 . 71 ² (iv) 3 0 0 0 2 0 0 0 1 (v) 1 2 1 2 3 1 1 1 0 Remember you might be asked to do the above in Quiz 3. You might also be asked to use the following commands on Quiz 3: LinearAlgebra[ReducedRowEchelonForm](M) (type ﬁrst 3 letters Red[Esc]) LinearAlgebra[BackwardSubstitute](M) (ﬁrst 3 letters Bac[Esc]) LinearAlgebra[Determinant](M) (ﬁrst 3 letters Det[Esc] As described in the tutorials on March 1 and March 3, these can be easily accessed by simply typing the ﬁrst 3 or so letters of the command and then pressing the escape key [Esc]. These commands allow you to do bigger matrices than Tutor Gaussian and Gauss Jordan elimination commands....
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