Prove property 6 is true by rearranging the flig 3X3 Property 6: for all mastuces A in U = M3x3 and for all real scalars C, C&A is in V=Mgx3 Suppose A is in V=M3x3 & c is a real # CA A must be in V =M3 x 3 By definition of C @ A, bij = c+aij C, aij are real #'s, bij is also a real # is a 3x3 matrix of real #'s COA Let al; and bij be the ijth entries of A and B = c A respectiv ans should be a string of letters ex FEDORA 20A)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 44E
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Question
M
Prove
Vector
property
fligi
the
Spaces
6 is true by rearranging
3X3
Property 6: for all my stuces A in U = M3x3 and for
A
all real scalars C, C&A is in V=Mg x 3
A) Suppose A is in V=M3x3
B) C A must be in V =M 3 x 3
& c is a real #
C) By definition of C&A, bij = c + aij
(D)
c, aij are real #'s, bij is also a real #
is a 3x3 matrix of real #'s
EJ
C&A is a
F) (et ai; and bij be the ijth entries of A and B = c A respectivel
ans should be a sting of letters ex FEDCRA
31
(20 A)
Transcribed Image Text:M Prove Vector property fligi the Spaces 6 is true by rearranging 3X3 Property 6: for all my stuces A in U = M3x3 and for A all real scalars C, C&A is in V=Mg x 3 A) Suppose A is in V=M3x3 B) C A must be in V =M 3 x 3 & c is a real # C) By definition of C&A, bij = c + aij (D) c, aij are real #'s, bij is also a real # is a 3x3 matrix of real #'s EJ C&A is a F) (et ai; and bij be the ijth entries of A and B = c A respectivel ans should be a sting of letters ex FEDCRA 31 (20 A)
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