Which of the following is a false statement if arbitrary matrices A, B, and C for which the indicated sums and products are defined? Note: A^T = Transpose of A a.) AB + AC = A(B + C) b.) If A is an n x n matrix, then (A^2)^T = (A^T)^2 c.) A^T + B^T = (A + B)^T d.) (ABC)^T = (C^T)(A^T)(B^T)
Which of the following is a false statement if arbitrary matrices A, B, and C for which the indicated sums and products are defined? Note: A^T = Transpose of A a.) AB + AC = A(B + C) b.) If A is an n x n matrix, then (A^2)^T = (A^T)^2 c.) A^T + B^T = (A + B)^T d.) (ABC)^T = (C^T)(A^T)(B^T)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Which of the following is a false statement if arbitrary matrices A, B, and C for
which the indicated sums and products are defined? Note: A^T = Transpose of A
a.) AB + AC = A(B + C)
b.) If A is an n x n matrix, then (A^2)^T = (A^T)^2
c.) A^T + B^T = (A + B)^T
d.) (ABC)^T = (C^T)(A^T)(B^T)
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VIEWOption 1. To check the equation whether it satisfied or not for AB + AC = A(B + C)
VIEWOption 2. To check the equation whether it satisfied or not for (A^2)^T = (A^T)^2
VIEWOption 3. To check the equation whether it satisfied or not for A^T + B^T = (A + B)^T
VIEWOption 4. To check the equation whether it satisfied or not for (ABC)^T = (C^T)(A^T)(B^T)
VIEWConclusion
VIEW
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