Worksheet: Adding and Subtracting Matrices

In this worksheet, we will practice adding and subtracting matrices using the properties of their addition and subtraction.

Q1:

Find 79508520.

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

Q2:

Evaluate 2110342130111230015000023.

  • A 0 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 4 2 1 0 2 1 2 1 3 0 3 8
  • D 0 4 1 0 2 1 2 1 3 0 1 1 4
  • E 4 2 1 0 4 1 2 1 3 0 3 8

Q3:

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

Q4:

Given that 𝑂 is the zero matrix of order 2×3, find the value of 264438+𝑂.

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

Q5:

Given that 𝑋+6865=𝑂, where 𝑂 is the 2×2 zero matrix, find the value of 𝑋.

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

Q6:

Consider the matrix 𝐴=1151310. Suppose the sum of matrices 𝐴 and 𝐵 is 𝐴+𝐵=101012. Find the matrix 𝐵.

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

Q7:

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

Q8:

Find 73935980.

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

Q9:

Find 79328618.

  • A 1 3 2 1 0
  • B 1 1 5 4 1 0
  • C 1 5 3 4 1 0
  • D 1 5 3 2 6

Q10:

Find 63617354.

  • A 1 6 1 1 5
  • B 1 3 6 1 5
  • C 1 6 1 3
  • D 1 3 0 1 1 5

Q11:

Find 411801575.

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

Q12:

Find 76358979.

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

Q13:

Evaluate 81137+10131.

  • A 1 8 1 0 0 8
  • B 1 8 4 1 4 8
  • C 1 8 1 0 6 8
  • D 2 1 1 0 1 0 8
  • E 1 8 7 3 2

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