Write as a Matrix Worksheets
How to Write Linear Systems as a Linear Matrix?
Equations are mathematical statements that include constants, variables, arithmetic operations, with an equalsto sign. There are different forms of the equation, and the most basic form is the linear equations. These equations have a variable with the highest power 1. The general form of a linear equation is given by;
ax + by = c
Here a, b, and c are constants, and x, y are variables.
When there is a system of linear equations, we can also write it in the form of a linear matrix. What is a matrix? Well, a matrix is an arrangement of numbers in a rectangular form; it comprises of rows and columns. A linear matrix is one which represents a system of linear equations
So, how to write linear systems as a linear matrix?
Consider a linear system;
ax+by=c
dx+ey=f
To create a linear matrix, you need to create a coefficient matrix, a variable matrix, and a constant matrix.
A coefficient matrix comprises of all the coefficient of the variables. In this case, it becomes;
a b
d e
Now, the variable matrix can be written as; (x/y)
The constant matrix is written as; (c/f)
The system can now be written as;
When you apply matrix multiplication here; it will become;

Basic Lesson
Guides students through writing linear equations as matrices. Step 1: Write the coefficients of x in the first column of first matrix. Step 2: Write the coefficients of y in the second column of first matrix. Step 3: Write x, y in the second matrix column wise. Step 4: Write the equivalent of the equations in the third matrix putting a "=" sign in between them.
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Intermediate Lesson
Demonstrates a stepbystep method for converting linear equations to matrices. Do not forget to write x,y,z in the second matrix column wise.
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Independent Practice 1
A really great activity for allowing students to understand the concept of Write as a Matrix.
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Independent Practice 2
Students find the Write as a Matrix in assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with problems to achieve the concepts of Write as a Matrix.
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Question...
Which British mathematician gave his name to a sort of algebra used in computing?
Answer: George Boole, the inventor of Boolean algebra.