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Lesson Worksheet: Matrix Operations Mathematics • 10th Grade

In this worksheet, we will practice combining the operations of addition, subtraction, scalar multiplication, and transposing matrices.

Q1:

Given that 𝐴=[335] and 𝐵=352, what is the matrix 𝐴𝐵?

  • A623
  • B[087]
  • C[623]
  • D[087]
  • E087

Q2:

Given that 𝐴=2533 and 𝐵=2253, what is 2(𝐴+𝐵) in matrix form?

  • A0161412
  • B0141612
  • C2161412
  • D016140
  • E0161412

Q3:

Given that 𝐴=7542𝐵=1072,, what is 13(𝐴+𝐵)?

  • A244343
  • B61244
  • C6534
  • D253143

Q4:

Fill in the blank: If 3𝑋+30912=𝑂, then 𝑋=.

  • A1034
  • B30912
  • C30912
  • D1034

Q5:

Fill in the blank: 64325341=.

  • A1861
  • B𝑂
  • C11003
  • D𝐼

Q6:

Solve for matrix 𝑋 in the matrix equation 𝑋𝐴=2𝐼, where 𝐼 is a unit matrix with size 2×2 and 𝐴=2963.

  • A3964
  • B3694
  • C4965
  • D4695
  • E0695

Q7:

Solve for matrix 𝑋 in the matrix equation 3𝑋+𝐵=𝐶, where 𝐵 and 𝐶 are 𝐵=57108,𝐶=8227.

  • A391215
  • B661518
  • C1345
  • D1345
  • E012114

Q8:

Given that 𝑋=321588,𝑌=189972,𝑍=387085, what is the matrix 3𝑋+𝑌3𝑍?

  • A1222764111
  • B19115374
  • C0114384
  • D1926156741

Q9:

Complete the following.

If 𝐴 and 𝐵 are two matrices with the same size, then 𝐴+𝐵=.

  • A𝐵𝐴
  • B𝐴𝐵
  • C𝐴+𝐵
  • D𝐴+𝐵
  • E𝐴𝐵

Q10:

Given that 𝐵=1373𝐵𝐵=𝐴,, determine the value of 𝑎+𝑎.

This lesson includes 31 additional questions and 243 additional question variations for subscribers.

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