Question: Exercise 10.0.13 (C-Level). Check that V2, V3, V4, vs E ker(61) by the definition of kernel. Exercise 10.0.14 (B-Level). Check that Bker(61) forms a

Exercise 10.0.13 (C-Level). Check that V2, V3, V4, vs E ker(61) by

Exercise 10.0.13 (C-Level). Check that V2, V3, V4, vs E ker(61) by the definition of kernel. Exercise 10.0.14 (B-Level). Check that Bker(61) forms a basis for ker(61) by first showing these four vectors are linearly independent and then using the Rank-Nullity theorem and an analysis of the pivot(s) of 61 above to conclude it must be a basis for "dimension reasons".

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