Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Matrix Elements

Sample Question Videos

Worksheet • 6 Questions • 2 Videos

Q1:

Given that find π‘Ž 2 3 , 𝑏 2 1 , and 𝑐 2 1 .

  • A π‘Ž = 9 2 3 , 𝑏 = βˆ’ 6 2 1 , 𝑐 = βˆ’ 5 2 1
  • B π‘Ž = 9 2 3 , 𝑏 = 3 2 1 , 𝑐 = βˆ’ 5 2 1
  • C π‘Ž = βˆ’ 8 2 3 , 𝑏 = 4 2 1 , 𝑐 = βˆ’ 5 2 1
  • D π‘Ž = 4 2 3 , 𝑏 = βˆ’ 6 2 1 , 𝑐 = βˆ’ 5 2 1

Q2:

Given that 𝐴 is a matrix of order 2 Γ— 2 , with π‘Ž = 7 1 1 , π‘Ž = βˆ’ 1 0 1 2 , π‘Ž = βˆ’ 9 2 1 , and π‘Ž = 2 2 2 , find the matrix 𝐴 .

  • A ο€Ό 7 βˆ’ 1 0 βˆ’ 9 2 
  • B βŽ› ⎜ ⎜ ⎝ 7 βˆ’ 1 0 βˆ’ 9 2 ⎞ ⎟ ⎟ ⎠
  • C ο€Ό 7 βˆ’ 9 βˆ’ 1 0 2 
  • D ( 7 βˆ’ 1 0 βˆ’ 9 2 )
  • E ο€Ό 7 βˆ’ 1 0 2 βˆ’ 9 

Q3:

Given that 𝐴 is a matrix of order 3 Γ— 2 , where π‘Ž = 0 1 1 , π‘Ž = π‘Ž βˆ’ 3 1 2 3 1 , π‘Ž = 4 2 1 , π‘Ž = 1 2 π‘Ž 2 2 1 1 , π‘Ž = 8 3 1 , and π‘Ž = 1 4 π‘Ž 3 2 2 1 , determine 𝐴 .

  • A  0 5 4 0 8 1 
  • B  5 0 0 4 1 8 
  • C  0 5 4 0 8 0 
  • D  0 8 4 0 8 0 

Q4:

Given what is ?

Q5:

Given which are the negative entries of ?

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

Q6:

Consider the matrices 𝐴 and 𝐡 . Determine π‘Ž 1 2 and 𝑏 1 1 .

  • A π‘Ž = 1 0 1 2 , 𝑏 = βˆ’ 2 1 1
  • B π‘Ž = 9 1 2 , 𝑏 = 1 1 1
  • C π‘Ž = βˆ’ 2 1 2 , 𝑏 = 1 0 1 1
  • D π‘Ž = 1 0 1 2 , 𝑏 = 1 0 1 1
  • E π‘Ž = βˆ’ 2 1 2 , 𝑏 = βˆ’ 2 1 1
Preview