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1 Prove property the flig Vector Spaces 6 Property 6: for all matuces A in V = M3x3 and for all real scalars C, C&A is in V=Mg x 3 A) Suppose A is in V=M3x3 B) ( A must be in V =M3x3 ans should be a is true by rearranging a string C) By definition of CA, bij = c+aij (D) C, aij are real #'s, bij is also a real # E C&A is a 3x3 matrix of real #'s F) (et al; and bij be the ijth entries of A and B = C&A respectively of letters &c is a real # ex FEDCBA

1 Prove property the flig Vector Spaces 6 Property 6: for all matuces A in V = M3x3 and for all real scalars C, C&A is in V=Mg x 3 A) Suppose A is in V=M3x3 B) ( A must be in V =M3x3 ans should be a is true by rearranging a string C) By definition of CA, bij = c+aij (D) C, aij are real #'s, bij is also a real # E C&A is a 3x3 matrix of real #'s F) (et al; and bij be the ijth entries of A and B = C&A respectively of letters &c is a real # ex FEDCBA

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 Prove property fligi the Vector Spaces 6 Property 6: for all matuces A in V = M3x3 and for all real scalars c₁ C&A is in V=Mg x 3 A) Suppose A is in V=M3x3 & C is a real # B) (A must be in V =M3X3 ans should be a is true by rearranging C) By definition of C&A, bij = c+aij (D) C, aij are real #'s, bij is also a real # E C&A is a 3x3 matrix of real #'s F) (et ai, and bij be the ijth entries of A and B = C&A respectively a string of letters ex FEDCBA
Transcribed Image Text:1 Prove property fligi the Vector Spaces 6 Property 6: for all matuces A in V = M3x3 and for all real scalars c₁ C&A is in V=Mg x 3 A) Suppose A is in V=M3x3 & C is a real # B) (A must be in V =M3X3 ans should be a is true by rearranging C) By definition of C&A, bij = c+aij (D) C, aij are real #'s, bij is also a real # E C&A is a 3x3 matrix of real #'s F) (et ai, and bij be the ijth entries of A and B = C&A respectively a string of letters ex FEDCBA
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