Prove Property one flig property li the Statements A) Assume that A and B. B) Then, Since aij, bij Ans is true by reordering to form a proof. A, B, V = Max the sum A @B is in V = M₂x+ should a real number We then know that A B is a 3x3 matrix of real numbers D) By the definition AAB, cij = aij x bij E) Tot aij, bij, Cij be the ijth entries of the matrices A, B, and C = AⓇR + Therefore, AB be as a are in V aij, bij are real numbers, Cij is also must be in V string letters - ex FEDCBA.
Prove Property one flig property li the Statements A) Assume that A and B. B) Then, Since aij, bij Ans is true by reordering to form a proof. A, B, V = Max the sum A @B is in V = M₂x+ should a real number We then know that A B is a 3x3 matrix of real numbers D) By the definition AAB, cij = aij x bij E) Tot aij, bij, Cij be the ijth entries of the matrices A, B, and C = AⓇR + Therefore, AB be as a are in V aij, bij are real numbers, Cij is also must be in V string letters - ex FEDCBA.
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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Transcribed Image Text:Prove Property
Property one is true by reordering
the flig statements
to form a proof.
property 1:
A) Assume that A and B are in V
B) Then, since aij, bij are real numbers, Cij is also
A₁ Bin V = M₂x3, the sum A AB is in V=Mgxs
real number
We then know that A B is a 3x3 matrix of real numbers
D) By the definition AB, cij = aij x bij
E)
[et aij, bij, cij be the ijth entries of the matrica
A, B, and C = AⓇB respectively
Ғ) Therefore, АРВ
F
must be in
be as a
Ans
should
string letters - ex FEDCBA-
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