---
# System prepended metadata

title: Seatwork 3 (Matrices and Matrix Operations)
tags: [Seatwork, CMSC57]

---

# Seatwork 3 (Matrices and Matrix Operations)

Given the following matrices:
$$
 A=\begin{bmatrix}
   1&-1&-2\\
   2&3&-1\\
   -2&1&2
   \end{bmatrix},
   B=\begin{bmatrix}
   2&0\\
   -1&0\\
   1&1
   \end{bmatrix},
   C=\begin{bmatrix}
   3&2\\
   -1&2
   \end{bmatrix},
   \\
   D=\begin{bmatrix}
   4&0.5\\
   -2&-1
   \end{bmatrix},
   E=\begin{bmatrix}
   -1.5&1&-0.5\\
   4&-2&1\\
   -0.5&0&-0.5
   \end{bmatrix},
$$
Solve for the following:

1. $A+B$
2. $A + 2E$
3. $BC$​
4. $CB$
5. $BC + B$
6. $DB^{T}$