7. Determine whether each statement is sometimes, always, or never true for matrices A and B and explain your reasoning. Stuck on one of them? Try a few examples. a. If A+Bexists, then A -B exists. b. fA and B have the same number of elements, then A +B exists.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 79E: Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A....
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7. Determine whether each statement is sometimes, always, or never true for matrices A and B and explain
your reasoning. Stuck on one of them? Try a few examples.
a. If A+B exists, then A -B exists.
b. If A andB have the same number of elements, then A + B exists.
• Previous
Transcribed Image Text:7. Determine whether each statement is sometimes, always, or never true for matrices A and B and explain your reasoning. Stuck on one of them? Try a few examples. a. If A+B exists, then A -B exists. b. If A andB have the same number of elements, then A + B exists. • Previous
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