Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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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 L be a linear operator on Rn. Suppose that
L (x) = 0 for some x ≠ 0. Let A be the matrix
representing L with respect to the standard basis
{e1, e2, . . . , en}. Show that A is singular.

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