2 5. Assume that the linear system A has the general solution 2 1 + d|0 with free variables c, d. 1 (a) Find a basis for Nul A. (b) Find a basis for Col A. (c) Determine the matrix A.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer the question on the screenshot. Please give full reasoning for the solution. 

5.
Assume that the linear system AT
4
has the general
solution
2
1
1
+d
with free variables c, d.
1
(a) Find a basis for Nul A.
(b) Find a basis for Col A.
(c) Determine the matrix A.
Transcribed Image Text:5. Assume that the linear system AT 4 has the general solution 2 1 1 +d with free variables c, d. 1 (a) Find a basis for Nul A. (b) Find a basis for Col A. (c) Determine the matrix A.
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