one Prove Property the flig statements property li Ans is true by reordening to form a proofr A, BV Max, the sum A 4B is in V=M₂x+ = A) Assume that A and B are in V B) Then, Since aij, bij are real numbers, Cij is also a real number We then know that A B is a 3x3 matrix of real number D) By the definition AAB, cij = aij x bij Tot aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇR respectively Therefore, AB must be in V should be as a string letters -ex FEDCBA-
one Prove Property the flig statements property li Ans is true by reordening to form a proofr A, BV Max, the sum A 4B is in V=M₂x+ = A) Assume that A and B are in V B) Then, Since aij, bij are real numbers, Cij is also a real number We then know that A B is a 3x3 matrix of real number D) By the definition AAB, cij = aij x bij Tot aij, bij, cij be the ith entries of the matrices A, B, and C = AⓇR respectively Therefore, AB must be in V should be as a 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
Related questions
Question
![(D)
E
Prove Property
the flig statements
property li
4
A) Assume that A and B are in V
B) Then, Since
one
Ans
is true by reordering
to form a proof.
should
A₁ B₁ V = Max the sum AB is in V = M₂ x +
a real number
We then know that AB is a 3x3 matrix of real numbers
the definition AB, cij = aij x bij
By
Tot aij, bij, cij be the ith entries of the matrices
A, B, and C = AⓇR
respectively
Therefore, AB must be in W
be as a
letters-ex FEDCBA-
aij, bij are real numbers, Cij is also](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80a45a6e-0b8a-4aa3-8be8-79493f18df43%2F139ecddb-f745-427b-a771-dd212967000a%2F6mc0tz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(D)
E
Prove Property
the flig statements
property li
4
A) Assume that A and B are in V
B) Then, Since
one
Ans
is true by reordering
to form a proof.
should
A₁ B₁ V = Max the sum AB is in V = M₂ x +
a real number
We then know that AB is a 3x3 matrix of real numbers
the definition AB, cij = aij x bij
By
Tot aij, bij, cij be the ith entries of the matrices
A, B, and C = AⓇR
respectively
Therefore, AB must be in W
be as a
letters-ex FEDCBA-
aij, bij are real numbers, Cij is also
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