Worksheet: Matrix Operations

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

Q1:

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

Q2:

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

  • A244343
  • B61244
  • C6534
  • D253143

Q3:

Given that both 𝐴 and 𝐵 have the order 1×2, determine the order of the matrix 6𝐴6𝐵.

  • A1×2
  • B2×1
  • C6×12
  • D6×6

Q4:

Consider the matrices 𝑍=7411,𝐴=7433. Is it true that 7(𝑍+𝐴)=7(𝐴)7(𝑍)?

  • Ayes
  • Bno

Q5:

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

  • A1222764111
  • B19115374
  • C0114384
  • D1926156741

Q6:

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

Q7:

If the matrices 𝐴 and 𝐵 both have order 𝑚×𝑛, then what is the order of the matrix 𝐴2𝐵?

  • A𝑛×𝑚
  • B1×𝑛
  • C𝑚×𝑛
  • D𝑚×1

Q8:

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

  • ANo
  • BYes

Q9:

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

  • AYes
  • BNo

Q10:

Complete the following.

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

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

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