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The vectors m = (1,1,1,1), u2 = (0,1,1,1), u3 = (0,0,1,1), and W4 = (0,0,0,1) form a

Chapter 1, Problem 9

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QUESTION:

The vectors m = (1,1,1,1), u2 = (0,1,1,1), u3 = (0,0,1,1), and W4 = (0,0,0,1) form a basis for F4 . Find the unique representation of an arbitrary vector (01,02,03,04) in F4 as a linear combination of Mi, u2, U3, and U4

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QUESTION:

The vectors m = (1,1,1,1), u2 = (0,1,1,1), u3 = (0,0,1,1), and W4 = (0,0,0,1) form a basis for F4 . Find the unique representation of an arbitrary vector (01,02,03,04) in F4 as a linear combination of Mi, u2, U3, and U4

ANSWER:

Step 1 of 3

Given basis:

 

Consider and can be expressed as a linear combination of the basis as:

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