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Make up your own 3x 4 matrix A with rank A = 2 . ( 4) Find a basis and the dimension of each of

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Make up your own 3x 4 matrix A with rank A = 2 . ( 4) Find a basis and the dimension of each of the four fundamental spaces . ( b ) show that N ( A) is orthogonal to ((AT), and N ( AT) is orthogonal to C ( A )

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