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Linear Algebra and Its Applications
· Problem 2.4.13
Vector Spaces — Gilbert Strang
Mathematics · four-fundamental-subspaces
Problem
If
a
,
b
,
c
a, b, c
a
,
b
,
c
are given with
a
≠
0
a \neq 0
a
=
0
, choose
d
d
d
so that
A
=
[
a
b
c
d
]
=
u
v
T
A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} = uv^{\mathrm{T}}
A
=
[
a
c
b
d
]
=
u
v
T
has rank 1. What are the pivots?
Related theory
The Four Fundamental Subspaces
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