Table of Contents
What is the answer of AB BA?
Yes, you are correct. a=b implies that a-b = b-a.
What is the relationship between A and B if a B 0?
SOLUTION: If a + b =0, then a and b are additive inverses.
Is a B then B A?
Multiplication Property: If a = b, then ca = cb. Substitution Property: if a = b, then either a or b may be substituted for the other in any equation or inequality. Reflexive Property: a = a. Symmetric Property: if a = b, then b = a.
Is a-B is equal to B-A?
Step-by-step explanation: The equality between A and B is written A = B, and pronounced A equals B. The word “commutative” comes from “commute” or “move around”, so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is “a + b = b + a”; in numbers, this means 2 + 3 = 3 + 2.
Is AB same as BA?
Vectors A-B and B-A are the same in magnitude but different in direction. Here are two examples. If the vectors are in the same dimension (in line) then A-B and B-A are equal in magnitude but different in direction.
Is AB 0 then?
If ab = 0, then a = 0 or b = 0. This statement is true. It is a property of the real numbers which was stated in class (without proof).
What does if AB 0 then a 0 or B 0 mean?
The Zero Product Property states that if the product of two numbers is zero, then at least one of the numbers is zero. In symbols, where a and b represent numbers, if ab=0, then a = 0 or b=0. If a=0, then the property is true.
Is AB a BA?
Well, if A and B are numbers,yes A*B=B*A is always true.
What property is if AB then ba?
Symmetric Property
Symmetric Property: if a = b, then b = a.
Is a B equals to a B?
Well, if A and B are numbers,yes A*B=B*A is always true. If A and B are matrices,well A*B=B*A is not always true,it depends on the value of matrices.
Does AB BA if A and B are invertible?
Theorem A square matrix A is invertible if and only if x = 0 is the only solution of the matrix equation Ax = 0. Corollary 1 For any n×n matrices A and B, BA = I ⇐⇒ AB = I. =⇒ (BA)x = 0 =⇒ x = 0. If the product AB is invertible, then both A and B are invertible.