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If a matrix is arranged such that each element is the sum of the two elements di

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Question: If a matrix is arranged such that each element is the sum of the two elements directly above it, what is the value of the element in the second row, second column if the first row is [1, 1]?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 2

Solution: 

The second row, second column is the sum of the two elements above it, which are both 1, so 1 + 1 = 2.

If a matrix is arranged such that each element is the sum of the two elements di

Practice Questions

Q1
If a matrix is arranged such that each element is the sum of the two elements directly above it, what is the value of the element in the second row, second column if the first row is [1, 1]?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If a matrix is arranged such that each element is the sum of the two elements directly above it, what is the value of the element in the second row, second column if the first row is [1, 1]?
  • Step 1: Identify the first row of the matrix, which is given as [1, 1].
  • Step 2: Understand that the second row will have elements that are the sums of the elements directly above them in the first row.
  • Step 3: The second row has two columns. The second column of the second row is calculated by adding the two elements directly above it, which are the first row's first column (1) and the first row's second column (1).
  • Step 4: Calculate the sum: 1 (from the first column) + 1 (from the second column) = 2.
  • Step 5: Therefore, the value in the second row, second column is 2.
  • Matrix Construction – Understanding how to construct a matrix based on given rules, specifically how elements are derived from their predecessors.
  • Addition in Matrices – Applying basic arithmetic operations to find values in a matrix based on defined relationships.
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