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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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