Consider the following vectors: v2 : 4 -4 2 -2 and 1 wi = w2 4 Find a 3 x 4 matrix A of rank 2 that contains Span{v1, v2} in its null space. A = Find a 3 x 4 matrix B that contains Span{v1, v2} in its null space and Span{w1, w2} in its column space. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following vectors:
v1 =
4
V2 =
and
1
wi =
W2 =
4
Find a 3 x 4 matrix A of rank 2 that contains Span{v1, v2} in its null space.
A =
Find a 3 x 4 matrix B that contains Span{v1, v2} in its null space and Span{w1, w2} in its column space.
B =
Transcribed Image Text:Consider the following vectors: v1 = 4 V2 = and 1 wi = W2 = 4 Find a 3 x 4 matrix A of rank 2 that contains Span{v1, v2} in its null space. A = Find a 3 x 4 matrix B that contains Span{v1, v2} in its null space and Span{w1, w2} in its column space. B =
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