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Lesson: Adding and Subtracting Matrices

Sample Question Videos

Worksheet • 16 Questions • 2 Videos

Q1:

Find 7 9 5 0 8 5 2 0 .

  • A 1 1 4 7 0
  • B 1 5 4 3 0
  • C 1 5 1 4 7 0
  • D 1 1 4 3 0

Q2:

Evaluate

  • A
  • B
  • C
  • D
  • E

Q3:

Given that find the values of 𝑥 , 𝑦 , 𝑧 , 𝑎 , and 𝑏 .

  • A 𝑥 = 1 8 , 𝑦 = 4 , 𝑧 = 2 1 , 𝑎 = 1 1 , 𝑏 = 7
  • B 𝑥 = 1 8 , 𝑦 = 4 , 𝑧 = 2 1 , 𝑎 = 1 , 𝑏 = 3
  • C 𝑥 = 1 8 , 𝑦 = 4 , 𝑧 = 2 1 , 𝑎 = 1 1 , 𝑏 = 3
  • D 𝑥 = 1 8 , 𝑦 = 4 , 𝑧 = 2 1 , 𝑎 = 1 1 , 𝑏 = 3

Q4:

Suppose the sum 𝐴 + 𝐵 + 𝐶 makes sense. We also know that 𝐴 has 2 rows and 𝐶 has 3 columns. What can we say about matrix 𝐵 ?

  • A 𝐵 is a 2 × 3 matrix.
  • B 𝐵 is a 1 × 3 matrix.
  • C 𝐵 is a 3 × 2 matrix.
  • D 𝐵 is a 3 × 3 matrix.
  • E 𝐵 is a 2 × 2 matrix.

Q5:

Given that 𝑂 is the zero matrix of order 2 × 3 , find the value of 2 6 4 4 3 8 + 𝑂 .

  • A 2 6 4 4 3 8
  • B 3 6 4 4 4 8
  • C 2 7 4 4 3 7
  • D 2 7 4 5 3 8

Q6:

Given that 𝑋 + 6 8 6 5 = 𝑂 , where 𝑂 is the 2 × 2 zero matrix, find the value of 𝑋 .

  • A 6 8 6 5
  • B 6 6 8 5
  • C 6 8 6 5
  • D 𝑂
  • E 6 6 8 5

Q7:

Consider the following matrix. Suppose the sum of matrices and is as follows. Find the matrix .

  • A
  • B
  • C
  • D
  • E

Q8:

Let 𝑍 be a 2 × 3 matrix whose entries are all zero. If 𝐴 is any 2 × 3 matrix, which of following is equivalent to 𝐴 + 𝑍 ?

  • A 𝐴
  • B 𝐴 + 𝐼
  • C 𝑍 𝐴
  • D 𝑍
  • E 𝐴 𝑍

Q9:

Find 5 1 7 3 + 1 0 2 6 5 .

  • A 5 3 1 3 8
  • B 1 5 1 1 2
  • C 1 5 3 1 3 2
  • D 5 3 1 2

Q10:

Find 6 5 6 9 + 1 0 4 7 4 .

  • A 4 9 1 1 3
  • B 1 6 1 1 3 5
  • C 1 6 9 1 5
  • D 4 9 1 3 5

Q11:

Find 7 3 9 3 5 9 8 0 .

  • A 2 1 2 1 7 3
  • B 1 2 6 1 3
  • C 1 2 1 2 1 7 3
  • D 2 1 2 1 3

Q12:

Find 6 7 7 2 + 3 1 0 1 1 3 .

  • A 3 1 7 4 1
  • B 9 3 1 8 5
  • C 9 1 7 4 5
  • D 3 1 7 1 8 5

Q13:

Find 8 2 2 5 + 7 5 1 3 .

  • A 1 3 3 8
  • B 1 5 7 1 2
  • C 1 5 3 3 2
  • D 1 3 1 2

Q14:

Given that find the values of 𝑥 , 𝑦 , 𝑧 , 𝑎 , and 𝑏 .

  • A 𝑥 = 5 , 𝑦 = 1 0 , 𝑧 = 4 , 𝑎 = 9 , 𝑏 = 4
  • B 𝑥 = 5 , 𝑦 = 1 0 , 𝑧 = 4 , 𝑎 = 9 , 𝑏 = 1 0
  • C 𝑥 = 5 , 𝑦 = 1 0 , 𝑧 = 4 , 𝑎 = 5 , 𝑏 = 4
  • D 𝑥 = 5 , 𝑦 = 1 0 , 𝑧 = 4 , 𝑎 = 9 , 𝑏 = 1 0
  • E 𝑥 = 5 , 𝑦 = 1 0 , 𝑧 = 4 , 𝑎 = 5 , 𝑏 = 1 0

Q15:

Given that find the values of 𝑥 , 𝑦 , 𝑧 , 𝑎 , and 𝑏 .

  • A 𝑥 = 1 6 , 𝑦 = 1 3 , 𝑧 = 6 , 𝑎 = 5 , 𝑏 = 8
  • B 𝑥 = 1 6 , 𝑦 = 1 3 , 𝑧 = 6 , 𝑎 = 5 , 𝑏 = 8
  • C 𝑥 = 1 6 , 𝑦 = 1 3 , 𝑧 = 6 , 𝑎 = 1 3 , 𝑏 = 8
  • D 𝑥 = 1 6 , 𝑦 = 1 3 , 𝑧 = 6 , 𝑎 = 5 , 𝑏 = 8
  • E 𝑥 = 1 6 , 𝑦 = 1 3 , 𝑧 = 6 , 𝑎 = 1 3 , 𝑏 = 8

Q16:

Given that find the values of 𝑥 , 𝑦 , 𝑧 , 𝑎 , and 𝑏 .

  • A 𝑥 = 1 , 𝑦 = 1 1 , 𝑧 = 7 , 𝑎 = 0 , 𝑏 = 1
  • B 𝑥 = 1 , 𝑦 = 1 1 , 𝑧 = 7 , 𝑎 = 1 2 , 𝑏 = 5
  • C 𝑥 = 1 , 𝑦 = 1 1 , 𝑧 = 7 , 𝑎 = 0 , 𝑏 = 5
  • D 𝑥 = 1 , 𝑦 = 1 1 , 𝑧 = 7 , 𝑎 = 0 , 𝑏 = 5
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