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Exercise 4.1.4

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If $AB = 0$ , the columns of $B$ are in the nullspace of $A$ and the rows of $A$ are in the left nullspace of $B$ . If rank $= 2$ , all those four subspaces have dimension at least 2 which is impossible for 3 by 3 .

mathchakra

2023-09-08 14:57

Exercise 4.1.4

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