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Lesson Worksheet: Matrix Operations Mathematics • 10th Grade

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

Q1:

Given that 𝐴=[3−3−5] and 𝐵=352, what is the matrix 𝐴−𝐵?

  • A62−3
  • B[08−7]
  • C[62−3]
  • D[0−8−7]
  • E0−8−7

Q2:

Given that 𝐴=253−3 and 𝐵=−225−3, what is 2(𝐴+𝐵) in matrix form?

  • A0161412
  • B01416−12
  • C21614−12
  • D016140
  • E01614−12

Q3:

Given that 𝐴=−75−4−2𝐵=107−2,, what is 13(𝐴+𝐵)?

  • A−24−43−43
  • B−612−4−4
  • C−653−4
  • D⎡⎢⎢⎣−2531−43⎤⎥⎥⎦

Q4:

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

  • A−1034
  • B30−9−12
  • C−30912
  • D10−3−4

Q5:

Fill in the blank: 6−4−32−5−3−41=.

  • A1−8−61
  • B𝑂
  • C11003
  • D𝐼

Q6:

Solve for matrix 𝑋 in the matrix equation 𝑋−𝐴=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=57−10−8,𝐶=8−227.

  • A3−91215
  • B6−61518
  • C−13−4−5
  • D1−345
  • E0−12−11−4

Q8:

Given that 𝑋=−3−215−8−8,𝑌=−18−9−97−2,𝑍=3−8−70−85, what is the matrix 3𝑋+𝑌−3𝑍?

  • A−1−22−276−41−11
  • B−19−115−37−4
  • C0−1−14−3−8−4
  • D−19261567−41

Q9:

Complete the following.

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

  • A𝐵−𝐴
  • B𝐴−𝐵
  • C𝐴+𝐵
  • D𝐴+𝐵
  • E𝐴−𝐵

Q10:

Given that 𝐵=1−37−3𝐵−𝐵=𝐴,, determine the value of 𝑎+𝑎.

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

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