matrix_problem/Matrix_Problems.Rmd at master · massimilianoj/matrix_problem · GitHub

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---
title: "Matrix_Problems"
author: "Massimiliano Porto"
date: "04 marzo 2017"
output: pdf_document
---

#Multiplication

##Multiplication by scalars

$[cA]_{ij}$

$$
2
\begin{bmatrix}
 3 & -2 & 4 \\
 1 & 2 & 1 \\
 6 & 4 & 4 \\
\end{bmatrix}
=
\begin{bmatrix}
 \dots & \dots & \dots \\
 \dots & \dots & \dots \\
 \dots & \dots & \dots \\
\end{bmatrix}
$$

##Matrix multiplication

Multiply A by B

$$
A =
\begin{bmatrix}
 3 & -1 \\
 5 & 2 \\
\end{bmatrix}
\times
B =
\begin{bmatrix}
 2 & -2 \\
 0 & 0 \\
\end{bmatrix}
=
\begin{bmatrix}
 \dots & \dots \\
 \dots & \dots \\
\end{bmatrix}
$$

Multiply A by C

$$
A =
\begin{bmatrix}
 3 & -1 \\
 5 & 2 \\
\end{bmatrix}
\times
C =
\begin{bmatrix}
 2 & -2 & 4\\
 0 & 0 & 0 \\
\end{bmatrix}
=
\begin{bmatrix}
 \dots & \dots & \dots \\
 \dots & \dots & \dots \\
\end{bmatrix}
$$


#Summation

##Sum A and B

$$
A =
\begin{bmatrix}
  1 & 2 \\
  -4 & 3 \\
\end{bmatrix}
+
B =
\begin{bmatrix}
 2 & 3 \\
 3 & 5 \\
\end{bmatrix}
=
\begin{bmatrix}
 \dots & \dots \\
 \dots & \dots \\
\end{bmatrix}
$$


##Sum C and D

$$
C =
\begin{bmatrix}
 2 & 4 & -1 \\
 1 & 3 & 2 \\
\end{bmatrix}
+
D =
\begin{bmatrix}
 1 & -1 & 3 \\
 -2 & 2 & -3 \\
\end{bmatrix}
=
$$