Lesson Worksheet: Adding and Subtracting Matrices Mathematics • 10th Grade

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

Q1:

Evaluate 81137+10131.

  • A2110108
  • B181068
  • C18732
  • D181008
  • E184148

Q2:

Find [121]+[282].

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

Q3:

Find 79508520.

  • A11430
  • B15430
  • C11470
  • D151470

Q4:

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

  • ANo
  • BYes

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:

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

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

Q7:

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

Q8:

Given that 𝐴=4313,𝐵=1023,𝐶=5107

Find 𝐴+𝐵𝐶.

  • A22313
  • B0437
  • C10237
  • D8211
  • E24113

Q9:

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

Q10:

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.

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