Worksheet: Matrix Elements

In this worksheet, we will practice finding an element in a matrix given its row and column numbers.

Q1:

Given that find 𝑎 2 3 , 𝑏 2 1 , and 𝑐 2 1 .

  • A 𝑎 = 4 2 3 , 𝑏 = 6 2 1 , 𝑐 = 5 2 1
  • B 𝑎 = 9 2 3 , 𝑏 = 3 2 1 , 𝑐 = 5 2 1
  • C 𝑎 = 8 2 3 , 𝑏 = 4 2 1 , 𝑐 = 5 2 1
  • D 𝑎 = 9 2 3 , 𝑏 = 6 2 1 , 𝑐 = 5 2 1

Q2:

Given that 𝐴 is a matrix of order 2 × 2 , with 𝑎 = 7 1 1 , 𝑎 = 1 0 1 2 , 𝑎 = 9 2 1 , and 𝑎 = 2 2 2 , find the matrix 𝐴 .

  • A 7 1 0 2 9
  • B 7 9 1 0 2
  • C ( 7 1 0 9 2 )
  • D 7 1 0 9 2
  • E 7 1 0 9 2

Q3:

Given that 𝐴 is a matrix of order 3 × 2 , where 𝑎 = 0 1 1 , 𝑎 = 𝑎 3 1 2 3 1 , 𝑎 = 4 2 1 , 𝑎 = 1 2 𝑎 2 2 1 1 , 𝑎 = 8 3 1 , and 𝑎 = 1 4 𝑎 3 2 2 1 , determine 𝐴 .

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

Q4:

Given what is ?

Q5:

Given which are the negative entries of ?

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

Q6:

Consider the matrices 𝐴 = 2 1 0 7 1 9 0 , 𝐵 = 𝐴 . Determine 𝑎 and 𝑏 .

  • A 𝑎 = 2 , 𝑏 = 2
  • B 𝑎 = 2 , 𝑏 = 1 0
  • C 𝑎 = 1 0 , 𝑏 = 1 0
  • D 𝑎 = 1 0 , 𝑏 = 2
  • E 𝑎 = 9 , 𝑏 = 1

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