**Q1: **

Find a basis for the solution space of the following system.

- A
- B
- C
- D
- E

**Q2: **

Find the general solution of the following system of linear equations, and hence find a basis for its solution space.

- AThe general solution is . A basis for the solution space is .
- BThe general solution is . A basis for the solution space is .
- CThe general solution is . A basis for the solution space is .
- DThe general solution is . A basis for the solution space is .
- EThe general solution is . A basis for the solution space is .

**Q3: **

Find the general solution of the system of linear equations and hence find a basis for its solution space.

- AThe general solution is , and a basis for the solution space is .
- B The general solution is , and a basis for the solution space is .
- CThe general solution is , and a basis for the solution space is .
- DThe general solution is , and a basis for the solution space is .
- E The general solution is , and a basis for the solution space is .

**Q4: **

Find the general solution of the system of linear equations and hence find a basis for its solution space.

- AThe general solution is , and a basis for the solution space is .
- B The general solution is , and a basis for the solution space is .
- CThe general solution is , and a basis for the solution space is .
- DThe general solution is , and a basis for the solution space is .
- EThe general solution is , and a basis for the solution space is .

**Q5: **

Let be the space of polynomials in the variable that have degree less than 4. Is a basis for this space?

- Ayes
- Bno

**Q6: **

Find the general solution to the system of linear equations and hence find a basis for its solution space.

- AThe general solution is . A basis for the solution space is .
- BThe general solution is . A basis for the solution space is .
- CThe general solution is . A basis for the solution space is .
- DThe general solution is . A basis for the solution space is .
- EThe general solution is . A basis for the solution space is .

**Q7: **

Find the general solution of the following system of linear equations, and hence find a basis for its solution space.

- AThe general solution is . A basis for the solution space is .
- BThe general solution is . A basis for the solution space is .
- CThe general solution is . A basis for the solution space is .
- DThe general solution is . A basis for the solution space is .
- EThe general solution is . A basis for the solution space is .

**Q8: **

Find the general solution of the following system of linear equations, and hence find a basis for its solution space.

- AThe general solution is . A basis for the solution space is .
- BThe general solution is . A basis for the solution space is .
- CThe general solution is . A basis for the solution space is .
- DThe general solution is . A basis for the solution space is .
- EThe general solution is . A basis for the solution space is .

**Q9: **

- AThe general solution is . A basis for the solution space is .
- BThe general solution is . A basis for the solution space is .
- CThe general solution is . A basis for the solution space is .
- DThe general solution is . A basis for the solution space is .
- EThe general solution is . A basis for the solution space is .