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Lesson: Constructing Matrices

Sample Question Videos

Worksheet • 4 Questions • 1 Video

Q1:

Which of the following is the matrix 𝐴 = ο€Ή π‘Ž  𝑖 𝑗 , where 𝑖 = 1 and 𝑗 = 1 , 2 ?

  • A ( π‘Ž π‘Ž ) 1 1 1 2
  • B ο€½ π‘Ž π‘Ž  1 1 2 1
  • C ο€½ π‘Ž π‘Ž  1 2 1 1
  • D ( π‘Ž π‘Ž ) 1 2 1 1

Q2:

Find the matrix 𝐴 = ο€Ή π‘Ž  π‘₯ 𝑦 , with an order of 3 Γ— 3 , whose elements are given by the formula π‘Ž = 5 π‘₯ + 4 𝑦 π‘₯ 𝑦 .

  • A  9 1 3 1 7 1 4 1 8 2 2 1 9 2 3 2 7 
  • B  9 1 4 1 9 1 3 1 8 2 3 1 7 2 2 2 7 
  • C  9 1 3 1 7 1 4 1 8 2 2 1 7 2 2 2 7 
  • D  9 1 4 1 9 1 4 1 8 2 2 1 9 2 3 2 7 

Q3:

Given that 𝐴 = ο€Ή π‘Ž  𝑖 𝑗 where π‘Ž = 3 𝑖 + 5 𝑗 + 9 𝑖 𝑗 , find the matrix 𝐴 𝑇 .

  • A ο€Ό 1 7 2 0 2 3 2 2 2 5 2 8 
  • B ο€Ό 2 2 2 5 2 8 1 7 2 0 2 3 
  • C  1 7 2 2 2 0 2 5 2 3 2 8 
  • D ο€Ό 2 3 2 0 1 7 2 8 2 5 2 3 

Q4:

Which of the following is the matrix 𝐴 = ο€Ή π‘Ž  𝑖 𝑗 , where 𝑖 = 1 , 2 and 𝑗 = 1 , 2 , 3 ?

  • A ο€½ π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž  1 1 1 2 1 3 2 1 2 2 2 3
  • B  π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž  1 1 1 2 2 1 2 2 3 1 3 2
  • C  π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž  1 1 2 1 1 2 2 2 1 3 2 3
  • D ο€½ π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž π‘Ž  1 1 2 1 3 1 1 2 2 2 3 2
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