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Consider the matrix: A = 1 2 3 4 2 3 4 5 3 4 5 6 As a linear transformation, A maps R 4

Consider the matrix:

A =

1 2 3 4
2 3 4 5
3 4 5 6

As a linear transformation, A maps R 4 to R 3 . Find a basis for Null(A), the null space of A, and find a basis for Col(A), the column space of A. Describe these spaces geometrically. What is Rank (A)?

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