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Lesson: Adding and Subtracting Matrices

In this lesson, we will learn how to add and subtract matrices.

Sample Question Videos

01:27
02:16

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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