Suppose A is the 3 by 3 matrix ones (3,3) of all ones. Find two independent vec- tors and y that solve Ax = 0 and Ay x = 0. Write that first equation Ax = (with numbers) as a combination of the columns of A. Why don't I ask for a third independent vector with Az = 0?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose A is the 3 by 3 matrix ones(3, 3) of all ones. Find two independent vec-
tors x and y that solve Ax = 0 and Ay 0. Write that first equation Ax = 0
(with numbers) as a combination of the columns of A. Why don't I ask for a third
independent vector with Az = 0?
-
Transcribed Image Text:Suppose A is the 3 by 3 matrix ones(3, 3) of all ones. Find two independent vec- tors x and y that solve Ax = 0 and Ay 0. Write that first equation Ax = 0 (with numbers) as a combination of the columns of A. Why don't I ask for a third independent vector with Az = 0? -
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