In this worksheet, we will practice checking the equality of matrices and finding values of unknown variables represented as elements in two equal matrices.

**Q1: **

Given that and that , is it true that ?

- Ano
- Byes

**Q2: **

If is it true that ?

- Ano
- Byes

**Q3: **

For which of the following matrices is ?

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q4: **

Given that find the value of .

- A
- B9
- C2
- D12
- E

**Q5: **

Given that determine the values of , , , and .

- A , , ,
- B , , ,
- C , , ,
- D , , ,

**Q7: **

Given that determine the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q8: **

Given that find the values of , , , and .

- A , , , .
- B , , , .
- C , , , .
- D , , , .

**Q9: **

Given that find the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q10: **

Consider the matrices and . Given that , determine the values of , , and .

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q11: **

Find the values of and , given that

- A ,
- B ,
- C ,
- D ,
- E ,

**Q12: **

Consider the linear transformation , where rotates each vector 90 degrees about the positive -axis. Find the matrix representation of in the standard basis.

- A
- B
- C
- D

**Q13: **

Given that is it true that ?

- Ayes
- Bno

**Q14: **

Given that and that , is it true that ?

- Ayes
- Bno

**Q15: **

Given that and that , is it true that ?

- Ayes
- Bno

**Q16: **

Given that and that , is it true that ?

- Ano
- Byes

**Q17: **

Given that find the value of .

- A
- B7
- C2
- D
- E

**Q18: **

If is it true that ?

- Ano
- Byes