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Posted: **Wed May 11, 2022 9:48 pm**

: 1 Assume That 1 U2 U3 4 Is An Orthogonal Basis For For R Where Uj 1 2 1 1 U 2 1 1 1 Uz 1 1 2 1 1 (12.93 KiB) Viewed 24 times

: 1 Assume That 1 U2 U3 4 Is An Orthogonal Basis For For R Where Uj 1 2 1 1 U 2 1 1 1 Uz 1 1 2 1 2 (16.16 KiB) Viewed 24 times

: 1 Assume That 1 U2 U3 4 Is An Orthogonal Basis For For R Where Uj 1 2 1 1 U 2 1 1 1 Uz 1 1 2 1 3 (16.16 KiB) Viewed 24 times

1. Assume that {1, U2, U3,4} is an orthogonal basis for for R*, where uj (1,2,1,1), u =(-2,1,-1,1), uz = (1,1, -2, -1), u4=(-1,1,1, -2) and a =(4,5, -3,3). Using theorem 5, write x as a linear combination of ui, U2, U3, Ug. DO NOT DO ROW REDUCTION!

THEOREM 5 The volume of the parallelepiped determined by w, u, and v given by lw. (u vl.