Question

Consider the matrix A =   2 −2 2 0 1 −2 1 −2 3...

Consider the matrix A =  

2 −2 2

0 1 −2

1 −2 3

  . • What is the rank of A? Give a basis for the range R(A). • What is the dimension of the null space N (A)? Give a basis for the null space. • What is the dimension of N (AT)? Give a basis for the range R(AT).

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