VERIFY THAT ( X + 3 )( X + 21 ) = (X + 21 )( X + 3 ) = x² - 5X + 61 FOR 1 2 1 X = 3 3 1 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 41E
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PROBLEM NO. 3 USE PIVOTAL ELEMENT METHOD FIRST APPLICATION: (EXPAND ABOUT COLUMN 2, REF. ELEMENT = a23) SECOND APPLICATION: (EXPAND ABOUT ROW 2, REF. ELEMENT = a11) PROBLEM NO. 4 VERIFY THAT ( X + 3 )( X + 2I ) = ( X + 2I )( X + 3 ) = X2 - 5X + 6I FOR
PROB.NO. 3
C) USE PIVOTAL ELEMENT METHOD
FIRST APPLICATION: (EXPAND ABOUT COLUMN 2, REF. ELEMENT = a23)
SECOND APPLICATION: (EXPAND ABOUT ROW 2, REF. ELEMENT =
a11)
-3
2
-2
-3
-9
4
3
2
det A =
1
3
2
1
1
2
4
-3
-5
4
1
3
2
-1
PROB.NO. 4
VERIFY THAT (X + 3 )( X + 21 ) = (X + 21 )( X + 3) =
X² - 5X + 61 FOR
%3D
[1
1
X =
3
1
4
3.
Transcribed Image Text:PROB.NO. 3 C) USE PIVOTAL ELEMENT METHOD FIRST APPLICATION: (EXPAND ABOUT COLUMN 2, REF. ELEMENT = a23) SECOND APPLICATION: (EXPAND ABOUT ROW 2, REF. ELEMENT = a11) -3 2 -2 -3 -9 4 3 2 det A = 1 3 2 1 1 2 4 -3 -5 4 1 3 2 -1 PROB.NO. 4 VERIFY THAT (X + 3 )( X + 21 ) = (X + 21 )( X + 3) = X² - 5X + 61 FOR %3D [1 1 X = 3 1 4 3.
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