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.

  • A11430
  • B15430
  • C11470
  • D151470

Q2:

Evaluate 2110342130111230015000023.

  • A0410212130114
  • B421041213038
  • C0410492130114
  • D021041213038
  • E421021213038

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?

  • 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

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