Properties of Vector Addition and Scolar Multiplication. (a₁, 02, 03) and b=(b₁,b₂,bz) and ~₁B EIR. a = Let Then: 1) (~ß). α= x 2.) (x + B) a = o 3.x. (a+b) 4.) B 5. 6.1 • α = a - T . Prove this o a (B-a)=B-(α-a) α-α + ß-a то то xa + d +α-b

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 87E
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Properties of Vector Addition and Scolar Multiplication.
Let
(a₁, 02, 03) and b=(b₁,b₂,bz) and ~₁B EIR.
a =
Then:
1) (~ß). α= x (B-a)=B-(x-a)
2. (x+B) a
(a+b)
•α = a · a + ß-a
3.x.
4.) B
5.
6.1 • α = a
- T
Prove this
o a
xoa ta
+α-b
то то
Transcribed Image Text:Properties of Vector Addition and Scolar Multiplication. Let (a₁, 02, 03) and b=(b₁,b₂,bz) and ~₁B EIR. a = Then: 1) (~ß). α= x (B-a)=B-(x-a) 2. (x+B) a (a+b) •α = a · a + ß-a 3.x. 4.) B 5. 6.1 • α = a - T Prove this o a xoa ta +α-b то то
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