Let T: P3 T(ap + a1 R³ be defined by + a² +3³) {0·8·4} and C= Given [7] Pc (T(u)). Pc(T(u)) = = Ex: 5 2 0 1 3 -4 0 -2-6 4 -3 0 4 300 +01+203 -3ao -a₁-2a3 40 01 - 302 + 203 Let u = -2+³. B = {x³, x², x, 1}, use the Fundamental Theorem of Matrix Representations to find

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 21E: Suppose that A is an invertible matrix over and O is a zero matrix. Prove that if AX=O, then X=O.
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The Fundamental Theorem of Matrix Representations.

 

 

Let T: P3
T(a + a1
R³ be defined by
+ a² + a3x³):
{Q.O.O}
and C=
Given [7]
Pc (T(u)).
Pc(T(u))
=
=
Ex: 5
3
300 +01+ 203
-3a0-a1203
40 01 302 + 203.
2
0
1
-4 0 -2 -6
]
use the Fundamental Theorem of Matrix Representations to find
4 -3 0 4
Let u=-2 +³ B = {x³, x², x, 1}.
Transcribed Image Text:Let T: P3 T(a + a1 R³ be defined by + a² + a3x³): {Q.O.O} and C= Given [7] Pc (T(u)). Pc(T(u)) = = Ex: 5 3 300 +01+ 203 -3a0-a1203 40 01 302 + 203. 2 0 1 -4 0 -2 -6 ] use the Fundamental Theorem of Matrix Representations to find 4 -3 0 4 Let u=-2 +³ B = {x³, x², x, 1}.
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