1. Let e %3| where a, b, c, d, e, f, g.h,i are some real numbers, if det (A)=5 answer the following questions: (a) Is A invertible? (Justify your answer). Find rank(A). (b) Let la+d b+e c+ B = and C = 2d -2e -2f %3D 2g 2h 2i 3g 3h 31 Compute det(B) and det(C). (c) Compute det(A) and det (adj(A)).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 32E
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1. Let
e
%3|
where a, b, c, d, e, f, g.h,i are some real numbers, if det (A)=5 answer the following questions:
(a) Is A invertible? (Justify your answer). Find rank(A).
(b) Let
la+d b+e c+
B =
and C =
2d -2e -2f
%3D
2g
2h
2i
3g
3h
31
Compute det(B) and det(C).
(c) Compute det(A) and det (adj(A)).
Transcribed Image Text:1. Let e %3| where a, b, c, d, e, f, g.h,i are some real numbers, if det (A)=5 answer the following questions: (a) Is A invertible? (Justify your answer). Find rank(A). (b) Let la+d b+e c+ B = and C = 2d -2e -2f %3D 2g 2h 2i 3g 3h 31 Compute det(B) and det(C). (c) Compute det(A) and det (adj(A)).
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