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If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of A + B? (2023)

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Question: If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of A + B? (2023)

Options:

  1. 3x3
  2. 3x2
  3. 2x3
  4. 3x1

Correct Answer: 3x3

Exam Year: 2023

Solution: 

The order of the sum of two matrices is the same as the order of the individual matrices. Therefore, A + B is a 3x3 matrix.

If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of A + B? (2023)

Practice Questions

Q1
If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of A + B? (2023)
  1. 3x3
  2. 3x2
  3. 2x3
  4. 3x1

Questions & Step-by-Step Solutions

If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of A + B? (2023)
  • Step 1: Identify the order of matrix A. A is a 3x3 matrix, which means it has 3 rows and 3 columns.
  • Step 2: Identify the order of matrix B. B is also a 3x3 matrix, which means it also has 3 rows and 3 columns.
  • Step 3: Understand that when you add two matrices, the order of the resulting matrix (A + B) is the same as the order of the individual matrices.
  • Step 4: Since both A and B are 3x3 matrices, the order of A + B will also be 3x3.
  • Matrix Addition – The order (dimensions) of the resulting matrix from the addition of two matrices is the same as the order of the individual matrices.
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