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Linear Algebra and Its Applications
· Problem 2.4.9
Vector Spaces — Gilbert Strang
Mathematics · four-fundamental-subspaces
Problem
Find a 1 by 3 matrix whose nullspace consists of all vectors in
R
3
\mathbf{R}^3
R
3
such that
x
1
+
2
x
2
+
4
x
3
=
0
x_1 + 2x_2 + 4x_3 = 0
x
1
+
2
x
2
+
4
x
3
=
0
. Find a 3 by 3 matrix with that same nullspace.
Related theory
The Four Fundamental Subspaces
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