Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Linear Algebra
In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…
Question

Let x and y be nonzero vectors in Rm and Rn,
respectively, and let A = xyT .
(a) Show that {x} is a basis for the column space
of A and that {yT } is a basis for the row space
of A. (b) What is the dimension of N(A)?

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