[2] True or False? If false, find an example to justify. If true, quote a THM to justify. (a) For any two numbers a and b, it is always true that ab-ba. Similarly, for any two matrices A and B, AB=BA these are called commutative properties of multiplication and addition AV (b) For any two numbers a and b, it is always ttue that a+b=b+a. Similarly, for any two matrices A and B, A+B=B+A. (c) For any two non-zero numbers a and b, ab 0. Similarly, for any two non-zero matrixes A and B, AB 0
[2] True or False? If false, find an example to justify. If true, quote a THM to justify. (a) For any two numbers a and b, it is always true that ab-ba. Similarly, for any two matrices A and B, AB=BA these are called commutative properties of multiplication and addition AV (b) For any two numbers a and b, it is always ttue that a+b=b+a. Similarly, for any two matrices A and B, A+B=B+A. (c) For any two non-zero numbers a and b, ab 0. Similarly, for any two non-zero matrixes A and B, AB 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![[2] True or False? If false, find an example to justify. If true, quote a THM to justify.
(a) For any two numbers a and b, it is always true that ab-ba. Similarly, for any two matrices A and B, AB=BA
these are called commutative properties of multiplication and addition AV
(b) For any two numbers a and b, it is always ttue that a+b=b+a. Similarly, for any two matrices A and B, A+B=B+A.
(c) For any two non-zero numbers a and b, ab 0. Similarly, for any two non-zero matrixes A and B, AB+0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24d25a60-e72b-4842-b763-43b4eb4f0e6c%2F7841df37-7553-4f8d-8d40-cc034398368c%2Fv7aqu21v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[2] True or False? If false, find an example to justify. If true, quote a THM to justify.
(a) For any two numbers a and b, it is always true that ab-ba. Similarly, for any two matrices A and B, AB=BA
these are called commutative properties of multiplication and addition AV
(b) For any two numbers a and b, it is always ttue that a+b=b+a. Similarly, for any two matrices A and B, A+B=B+A.
(c) For any two non-zero numbers a and b, ab 0. Similarly, for any two non-zero matrixes A and B, AB+0
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