Worksheet: Adding and Subtracting Matrices

In this worksheet, we will practice adding and subtracting matrices.

Q1:

Find 79508520.

  • A11430
  • B15430
  • C11470
  • D151470

Q2:

Evaluate 2110342130111230015000023.

  • A0410212130114
  • B421041213038
  • C0410492130114
  • D021041213038
  • E421021213038

Q3:

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

  • A𝐵 is a 1×3 matrix.
  • B𝐵 is a 3×2 matrix.
  • C𝐵 is a 3×3 matrix.
  • D𝐵 is a 2×3 matrix.
  • E𝐵 is a 2×2 matrix.

Q4:

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

  • A274437
  • B264438
  • C364448
  • D274538

Q5:

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

  • A𝑂
  • B6685
  • C6865
  • D6865
  • E6685

Q6:

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

  • A0161302
  • B2161322
  • C2161322
  • D0141302
  • E2161322

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?

  • A𝑍𝐴
  • B𝐴+𝐼
  • C𝑍
  • D𝐴𝑍
  • E𝐴

Q8:

Find 73935980.

  • A21213
  • B12613
  • C212173
  • D1212173

Q9:

Find 79328618.

  • A153410
  • B115410
  • C15326
  • D13210

Q10:

Find 63617354.

  • A16115
  • B130115
  • C1613
  • D13615

Q11:

Find 411801575.

  • A316155
  • B56155
  • C31615
  • D51615

Q12:

Find 76358979.

  • A153414
  • B115414
  • C153104
  • D131014

Q13:

Evaluate 81137+10131.

  • A2110108
  • B181068
  • C18732
  • D181008
  • E184148

Q14:

Find [121]+[282].

  • A1103
  • B[3103]
  • C[3101]
  • D[1103]
  • E3101

Q15:

Given that 𝑂 is the zero matrix of order 1×3, find 𝑂[123].

  • A[123]
  • B[000]
  • C[123]
  • D000
  • E123

Q16:

If the matrix 𝐴=4236 and the matrix 𝐵=4236, then 𝐴+𝐵=.

  • A2𝐵
  • B𝑂
  • C𝐼
  • D2𝐴

Q17:

A company produces televisions with 32-inch, 42-inch, and 48-inch screens. The first table gives the number of televisions of each screen size produced in factories A and B during January 2016. The second table gives the same information for February 2016. Express the total number of televisions of each screen size produced in the 2 months by each factory, A and B, in a matrix.

Screens produced during January 2016:

Factory32 inches42 inches48 inches
A820770500
B690660620

Screens produced during February 2016:

Factory32 inches42 inches48 inches
A560550830
B520700660
  • A1,2501,2101,4501,3401,4701,160
  • B1,3401,4701,1601,2501,2101,450
  • C1,3801,3601,3301,2101,2101,280
  • D1,3801,3201,3301,2101,3601,280

Q18:

If 𝑥22𝑦=45, then 𝑥+𝑦=.

  • A9
  • B9
  • C3
  • D3

Q19:

Given that 𝑋𝑌=0863,𝑋𝑌=616019, what are 𝑋 and 𝑌?

  • A𝑋=312311, 𝑌=3438
  • B𝑋=624622, 𝑌=1214
  • C𝑋=68616, 𝑌=0863
  • D𝑋=624622, 𝑌=0863

Q20:

Given that 7252102585+111190115612=𝑥9𝑦2𝑧3𝑎7𝑏, find the values of 𝑥, 𝑦, 𝑧, 𝑎, and 𝑏.

  • A𝑥=18, 𝑦=4, 𝑧=21, 𝑎=11, 𝑏=3
  • B𝑥=18, 𝑦=4, 𝑧=21, 𝑎=11, 𝑏=7
  • C𝑥=18, 𝑦=4, 𝑧=21, 𝑎=1, 𝑏=3
  • D𝑥=18, 𝑦=4, 𝑧=21, 𝑎=11, 𝑏=3

Q21:

Given that 49𝑥+74+49𝑦+𝑥𝑦+5=𝑂, where 𝑂 is the zero matrix of order 2×2, find the values of 𝑥 and 𝑦.

  • A𝑥=8, 𝑦=9
  • B𝑥=4, 𝑦=1
  • C𝑥=3, 𝑦=1
  • D𝑥=1, 𝑦=9

Q22:

What is the value of 𝐴+(𝐴) for any matrix 𝐴?

  • A𝐴
  • B𝑂
  • C𝐴
  • D1001

Q23:

If 𝐴 is a 2×3 matrix and 𝐵 is a 3×2 matrix, can you add the matrices 𝐴 and 𝐵?

  • ANo
  • BYes

Q24:

If the matrix 𝐴 is added to a zero matrix of the same size, is the result equal to matrix 𝐴?

  • AYes
  • BNo

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