Math (3)

# Math (3) - combination of vectors in the set T = v 1 v 4...

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Solution 4) Let Now ker(L) we can find as

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Transform the coefficient matrix of the system to the reduced row echelon form
Hence The nullity of L is 2. This is the dimension of the kernel of L. Range of L: Since the variables c 2 , c 3 are arbitrary, then each of the vectors v 2 , v 3 can be expressed as a linear

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Unformatted text preview: combination of vectors in the set T = { v 1 , v 4 }. For example, set c 2 = 1, c 3 = 0, and use the equation above to express v 2 as a linear combination of the remaining vectors in the set S: The rank of L is 2. This is the dimension of the range of L. Hence Ker(L) = Range(L)=2 Proved...
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Math (3) - combination of vectors in the set T = v 1 v 4...

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