**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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