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If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum order of the res

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Question: If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum order of the resultant matrix when A is added to B? (2021)

Options:

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

Correct Answer: 3x3

Exam Year: 2021

Solution: 

The sum of two matrices of the same order results in a matrix of the same order. Therefore, A + B will be a 3x3 matrix.

If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum order of the res

Practice Questions

Q1
If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum order of the resultant matrix when A is added to B? (2021)
  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 maximum order of the resultant matrix when A is added to B? (2021)
  • Step 1: Identify the order of matrix A. It is a 3x3 matrix.
  • Step 2: Identify the order of matrix B. It is also a 3x3 matrix.
  • Step 3: Understand that when you add two matrices, the resulting matrix has the same order as the original matrices.
  • Step 4: Since both A and B are 3x3 matrices, their sum A + B will also be a 3x3 matrix.
  • Step 5: Conclude that the maximum order of the resultant matrix when A is added to B is 3x3.
  • Matrix Addition – The operation of adding two matrices of the same dimensions results in a matrix of the same dimensions.
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