Example: Find the Coordinate Vector

Thursday, 20 June 2019

4:57 PM

Untitled picture.png Machine generated alternative text: Suppose that B {VI, v2, v3} a basis for IR3 3 be a vector in IR , where 3 3 o o -3 1 o 1 -3 2 -2 3 , and v3 ¯ -11 6 -3 3 -2 2 Let v -3 6 -11 Find the coordinate vector of v with respect to B. You may find the following reduction useful. o The matrix 0 3 o 1 -3 3 -2 2 -3 6 -11 , by Maple, is reduced to Untitled picture.png Machine generated alternative text: Suppose that the coordinate vector of v with respect to the basis B {VI, v2, v3} is The coordinate vector will be the unique solutions of the system XVI + + ZV3 = z Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings  Ink Drawings Ink Drawings Ink Drawings Ink Drawings   Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings    Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings    Ink Drawings Ink Drawings Ink Drawings
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