2) Determine the standard matrix representation of each linear transformation. a)T(x, y) = (x+ y,x– 3y) b)T(x, y) = (2x – y,x+ y,x+3y) c)T(x, y,z) = (x – y+3z,x+ y+z,x) d)T(x,,x2 X3,X4) = (x, – 2x,,2x, – x, +3x,,8x, – 4x, + 3x, – X,) %3D

2) Determine the standard matrix representation of each linear transformation. a)T(x, y) = (x+ y,x– 3y) b)T(x, y) = (2x – y,x+ y,x+3y) c)T(x, y,z) = (x – y+3z,x+ y+z,x) d)T(x,,x2 X3,X4) = (x, – 2x,,2x, – x, +3x,,8x, – 4x, + 3x, – X,) %3D

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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 under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

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2) Determine the standard matrix representation of each linear
transformation.
a)T(x, y) = (x+ y,x– 3y)
b)T(x, y) = (2x – y,x+ y,x+3y)
c)T(x,y,z) = (x– y+3z,x+ y + z, x)
d)T(x,,x2 X3,x4) = (x2 – 2x,,2x, – x, +3x,,8x, – 4x, + 3x, – x4)

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