# Worksheet: Introduction to the System of Linear Equations

In this worksheet, we will practice expressing a system of linear equations as a matrix equation.

Q1:

Express the following set of simultaneous equations as a matrix equation:

• A
• B
• C
• D
• E

Q2:

Express the set of simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q3:

Write down the set of simultaneous equations that could be solved using the matrix equation .

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q4:

Express the simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q5:

Which of the following shows the set of simultaneous equations that could be solved using the matrix equation

• A
• B
• C
• D
• E

Q6:

Write down the set of simultaneous equations that could be solved using the given matrix equation.

• A
• B
• C
• D
• E

Q7:

Which of the following shows the set of simultaneous equations that could be solved using the matrix equation

• A
• B
• C
• D
• E

Q8:

Express the simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q9:

Express the simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q10:

Express the following system of equations in matrix form.

• A
• B
• C
• D

Q11:

Write down the set of simultaneous equations that could be solved using the given matrix equation.

• A
• B
• C
• D
• E

Q12:

Express the simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q13:

Express the simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q14:

Express the simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q15:

Express the simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q16:

Write down the set of simultaneous equations that could be solved using the given matrix equation.

• A
• B
• C
• D
• E

Q17:

Write down the set of simultaneous equations that could be solved using the given matrix equation.

• A
• B
• C
• D
• E

Q18:

Find the matrix such that

• A
• B
• C
• D
• E

Q19:

Write in the form where is a matrix.

• A
• B
• C
• D
• E

Q20:

Write in the form where is a matrix.

• A
• B
• C
• D
• E

Q21:

True or False: In the matrix equation , must be a square matrix.

• AFalse
• BTrue

Q22:

True or False: The number of columns of a coefficient matrix in a matrix equation represents the number of variables.

• ATrue
• BFalse