1, FOR WHAT YALUE(s) OF k (IF ANY) IS THE FOLLOWING MATRIX SIN GULAR ? A =K K-I 3

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 34E
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1 FOr WHAT VALUE(5) OF k (IF ANY) IS THE FOLLOWING
MATRIX SIN GULAR?
A =
O K-I 3
2,a. GIVEN:
A =
73 f(x) = 2x-x +3
2
EVALUATE } frA)
b, FOR nxn MATRICES A AND B, SHOW THAT THE
INVERSE OF AB iS B'A!
3. USE ROW-REDUCTION ANo COFACTOR EXPANSION
TO EVALUATE THE DETERMINANT :
TAI =|| | 4
2
%3D
4
4. GIYEN THE LINEAR SYSTEM AX=b x,+ 2X,+ Xg=|
2X, + 5 X,+4X=2
3x, + 6X, +4X=4
9. DETERMINE A
USING [AII]
b. USE THE ANSWER FROM PART A
TO DETER MINE THE SOLUTION TO THE
SYSTEM
Transcribed Image Text:1 FOr WHAT VALUE(5) OF k (IF ANY) IS THE FOLLOWING MATRIX SIN GULAR? A = O K-I 3 2,a. GIVEN: A = 73 f(x) = 2x-x +3 2 EVALUATE } frA) b, FOR nxn MATRICES A AND B, SHOW THAT THE INVERSE OF AB iS B'A! 3. USE ROW-REDUCTION ANo COFACTOR EXPANSION TO EVALUATE THE DETERMINANT : TAI =|| | 4 2 %3D 4 4. GIYEN THE LINEAR SYSTEM AX=b x,+ 2X,+ Xg=| 2X, + 5 X,+4X=2 3x, + 6X, +4X=4 9. DETERMINE A USING [AII] b. USE THE ANSWER FROM PART A TO DETER MINE THE SOLUTION TO THE SYSTEM
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