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If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

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Question: If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

Options:

  1. [6, 8], [10, 12]
  2. [1, 2], [3, 4]
  3. [5, 6], [7, 8]
  4. [8, 10], [10, 12]

Correct Answer: [6, 8], [10, 12]

Solution: 

A + B = [[1+5, 2+6], [3+7, 4+8]] = [[6, 8], [10, 12]].

If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

Practice Questions

Q1
If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?
  1. [6, 8], [10, 12]
  2. [1, 2], [3, 4]
  3. [5, 6], [7, 8]
  4. [8, 10], [10, 12]

Questions & Step-by-Step Solutions

If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?
Correct Answer: [[6, 8], [10, 12]]
  • Step 1: Identify the matrices A and B. A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]].
  • Step 2: Understand that to add two matrices, you add their corresponding elements.
  • Step 3: Add the elements in the first row of A to the elements in the first row of B: 1 + 5 and 2 + 6.
  • Step 4: Calculate the results: 1 + 5 = 6 and 2 + 6 = 8.
  • Step 5: Write the first row of the result: [6, 8].
  • Step 6: Now, add the elements in the second row of A to the elements in the second row of B: 3 + 7 and 4 + 8.
  • Step 7: Calculate the results: 3 + 7 = 10 and 4 + 8 = 12.
  • Step 8: Write the second row of the result: [10, 12].
  • Step 9: Combine both rows to get the final result: A + B = [[6, 8], [10, 12]].
  • Matrix Addition – The operation of adding two matrices by adding their corresponding elements.
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