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The Manga Guide to Linear Algebra by Ltd. Trend-Pro Co., Iroha Inoue, Shin Takahashi

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70 Chapter 3 Intro to Matrices
Matrix Calculations
Now let's
lk at some
calculations.
The four relevant
operators are:
 Aition
• Subtraction
• Scalar
multiplication
• Matrix
Multiplication
Aition
Note that Aition and
subtraction work only
with matrices that have
the same dimensions.
1
3
5
2
4
6
6
4
2
5
3
1
1
+
6
3
+
4
5
+
2
2
+
5
4
+
3
6
+
1
1
3
5
2
4
6
6
4
2
5
3
1
+
Examples
1 + 6
3 + 4
5 + 2
2 + 5
4 + 3
6 + 1
1
3
5
2
4
6
6
4
2
5
3
1
7
7
7
7
7
7
+
= =
(10, 10) + (
3,
6) = (10 + (
3), 10 + (
6)) = (7, 4)
10
10
7
4
3
6
10 + (
3)
10 + (
6)
+ = =
Let's a the
3×2 matrix
to this
3×2 matrix
That is:
The elements would be aed
elementwise, like this:
Addition
Examples

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