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Exercise 10 0 13 C Level Check that U2 U3 U4 U5 ker 8 by...

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Algebra

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Exercise 10 0 13 C Level Check that U2 U3 U4 U5 ker 8 by the definition of kernel Exercise 10 0 14 B Level Check that Bker 61 forms a basis for ker 6 by first showing these four vectors are linearly independent and then using the Rank Nullity theorem and an analysis of the pivot s of 6 above to conclude it must be a basis for dimension reasons

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