# Worksheet: Equality of Matrices

Q1:

Given that and that , is it true that ?

• Ano
• Byes

Q2:

Given that and that , is it true that ?

• Ayes
• Bno

Q3:

Given that and that , is it true that ?

• Ayes
• Bno

Q4:

Given that and that , is it true that ?

• Ano
• Byes

Q5:

Given that find the value of .

• A
• B9
• C2
• D12
• E

Q6:

Given that find the value of .

• A
• B7
• C2
• D
• E

Q7:

Given that determine the values of , , , and .

• A , , ,
• B , , ,
• C , , ,
• D , , ,

Q8:

Given that find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q9:

Given that determine the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q10:

If is it true that ?

• Ano
• Byes

Q11:

If is it true that ?

• Ano
• Byes

Q12:

Given that find the values of , , , and .

• A , , , .
• B , , , .
• C , , , .
• D , , , .

Q13:

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

• A , ,
• B , ,
• C , ,
• D , ,
• E , ,

Q14:

Given the following, find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q15:

For which of the following matrices is ?

• A , ,
• B , ,
• C , ,
• D , ,
• E , ,

Q16:

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

Q17:

Given that is it true that ?

• Ayes
• Bno

Q18:

Given that find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,