Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Linear Algebra.

Consider a linear transformation T(x) Ax : R? → R? where cos(0) – sin() sin(0) cos(0) COS A : (а) (b) (c) Show that ||T(x)|| = ||x||, Vx E R². Show that T(x) · T(y)=x·y, Vx E R?. Interpret the property (a) in terms of geometry. =X•Y,
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Transcribed Image Text:Consider a linear transformation T(x) Ax : R? → R? where cos(0) – sin() sin(0) cos(0) COS A : (а) (b) (c) Show that ||T(x)|| = ||x||, Vx E R². Show that T(x) · T(y)=x·y, Vx E R?. Interpret the property (a) in terms of geometry. =X•Y,
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