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Cornell University Department of Computer Science

Self-check exercise: Mathematical Operations

The following exercises are taken from the manuscript "MATLAB: An Introduction with Applications" by Amos Gilat

Create the following three matrices:

A =
```
 5     2    4
```
```
 1     7   -3
```
```
 6   -10    0
```
B =
```
11     5   -3
```
```
 0   -12    4
```
```
 2     6    1
```
C =
```
 7   14    1
```
```
10    3   -2
```
```
 8   -5    9
```
a) Calculate A + B anb B + A to show that addition of matrices is commutative.

b) Calculate A + (B + C) and (A + B) + C to show that addition of matrices is associative.

c) Calculate 5(A + C) and 5A + 5C to show that, when matrices are multiplied by a scalar, the multiplication is distributive.