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Worksheet: Adding and Subtracting Matrices

Q1:

Find 7 9 5 0 8 5 2 0 .

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

Q2:

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

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

Q3:

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

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

Q4:

Evaluate

  • A 4 2 1 0 4 1 2 1 3 0 3 8
  • B 0 4 1 0 4 9 2 1 3 0 1 1 4
  • C 0 2 1 0 4 1 2 1 3 0 3 8
  • D 4 2 1 0 2 1 2 1 3 0 3 8
  • E 0 4 1 0 2 1 2 1 3 0 1 1 4

Q5:

Find 7 3 9 3 5 9 8 0 .

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

Q6:

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

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

Q7:

Find 8 2 2 5 + 7 5 1 3 .

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

Q8:

Consider the matrix Suppose the sum of matrices 𝐴 and 𝐵 is Find the matrix 𝐵 .

  • A 2 1 6 1 3 2 2
  • B 0 1 4 1 3 0 2
  • C 2 1 6 1 3 2 2
  • D 2 1 6 1 3 2 2
  • E 0 1 6 1 3 0 2

Q9:

Given that find the values of , , , , and .

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

Q10:

Given that find the values of , , , , and .

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

Q11:

Given that find the values of , , , , and .

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

Q12:

Given that find the values of , , , , and .

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

Q13:

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

Q14:

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

Q15:

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

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

Q16:

Given that, for the following, is the zero matrix of order , find the value of .

  • A
  • B
  • C
  • D
  • E