A matrix A and an echelon form of A are shown below. Find a set that spans Nul A. A = 5 11 67 25 7 15 91 - 33 3 8 50 - 22 ~ 1 3 19 9 01 7 -5 оо о 0

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A matrix A and an echelon form of A are shown below. Find a set that spans Nul A.
A =
5 11 67 - 25
7 15 91 - 33
3 850 - 22
1 3 19 - 9
01 7 -5
0000
(Simplify your answer. Use a comma to separate answers as needed.)
Transcribed Image Text:A matrix A and an echelon form of A are shown below. Find a set that spans Nul A. A = 5 11 67 - 25 7 15 91 - 33 3 850 - 22 1 3 19 - 9 01 7 -5 0000 (Simplify your answer. Use a comma to separate answers as needed.)
Expert Solution
Step 1

Null space: Let A is an m×n matrix. The set of all the vectors x consisting of the solutions of the

equation Ax=0 is called the null space of A.

We have the row reduced echelon form of the matrix A. We have to find the basis of the null

space of A.

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