## With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

No credit card required

Vector Calculations 125
Vector Calculations
Even though vectors
have a few special
interpretations, they're a
just
n and n×1 matrices...
And they're
calculated in the
exact same way.
= (3 · 1 + 1 · 2) = 5
(10, 10) + (3, 6) = (10 + (3), 10 + (6)) = (7, 4)
(10, 10) (3, 6) = (10 3, 10 6) = (7, 4)
2(3, 1) = (2 · 3, 2 · 1) = (6, 2)
(3, 1)
Aition
10
10
7
4
3
6
+
10 + (3)
10 + (6)
= =
Subtraction
10
10
7
4
3
6
10 3
10 6
= =
Scalar multiplication
6
2
3
1
2
2 · 3
2 · 1
= =
Matrix Multiplication
3
1
6
2
3
1
1
2
3 · 1 3 · 2
1 · 1 1 · 2
(1, 2) = =
8
2
3
1
3
1
3
1
=
21
7
8 · 3 + (3) · 1
2 · 3 + 1 · 1
= = 7
Simple!
126 Chapter 5 Introduction to Vectors
Horizontal
vectors like this
one are caed
row vectors.
And vertical
vectors are
caed column
vectors.
Makes
sense.
We also ca the set of
a 1 matrices R
n
.
Sure,
why not...
R
n
aears a
lot in linear
algebra, so
make sure you
remember it.
No
problem.
When writing vectors by hand, we
usuay draw the leftmost line
double, like this.
A 2×1
vectors
A
3×1
vectors
A
1
vectors

## With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

No credit card required