Consider the matrix, A = | 1      0     2      0 | | −2    3   −1      0 | | 3    −1     5    −1 | A) Do the columns of A span R3? Justify your answer. B) Find a basis for NulA. C) Find a basis for ColA.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the matrix,

A =
| 1      0     2      0 |
| −2    3   −1      0 |
| 3    −1     5    −1 |

A) Do the columns of A span R3? Justify your answer.

B) Find a basis for NulA.

C) Find a basis for ColA.

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