Formative and Latex! Matrices and More!

Colors

Recreate the following using Latex:

\color{green}\frac{c}{d}

Then try editing the Latex to make the fraction different colors!

After that, draw a box around your fraction:

\boxed{\color{red}\frac{c}{d}}

Set-builder notation

You can use \mathbb{letter} for number sets. Recreate the following using Latex: \mathbb{R}, \mathbb{Z}

Then recreate the following:

\{x \mid x \in \mathbb{Q}, -3 \leq x < 7\}

Matrices

Some tips:

• Use the \begin{matrix} and \end{matrix} to create a matrix.

• Use \\ for the end of each line.

Copy and paste this example to start:

\begin{matrix} a & b \\ c & d \end{matrix}

Then recreate the following:

\begin{Bmatrix} x & y \\ a & b \end{Bmatrix}

Let's go multi-line!

Some tips:

• Use the aligned environment to type a multi-line equation.

• The equation begins with \begin{aligned} and ends with \end{aligned}.

• The end of each line in this environment should have a double slash \\ - except for the final line.

Start by typing the following:

\begin{aligned} 2 x + 2 = x - 6 \end{aligned}

Then copy and paste the following, and compare the result when you select \LaTeX:

\begin{aligned} 2 x + 2 &= x - 6 \\ 2x + 2 - x &= x - 6 - x \end{aligned}

Note that you must type &= when you would normally type =, in order for the vertical alignment to be preserved.

Let's go multi-line - part 2!

Try to recreate the following, using the rules above:

\begin{aligned} 2x + 2 &= x - 6 \\ 2x + 2 - x &= x - 6 - x \\ x + 2 &= -6 \\ x+2-2 &= -6 - 2 \\ x &= -8 \end{aligned}