Question: If a matrix is arranged such that each element is the product of its row and column indices (starting from 1), what is the value at the position (3, 2) in a 4x4 matrix?
Options:
6
5
4
3
Correct Answer: 6
Solution:
The value at (3, 2) is 3 * 2 = 6.
If a matrix is arranged such that each element is the product of its row and col
Practice Questions
Q1
If a matrix is arranged such that each element is the product of its row and column indices (starting from 1), what is the value at the position (3, 2) in a 4x4 matrix?
6
5
4
3
Questions & Step-by-Step Solutions
If a matrix is arranged such that each element is the product of its row and column indices (starting from 1), what is the value at the position (3, 2) in a 4x4 matrix?
Step 1: Understand that we have a matrix where each element is calculated by multiplying its row index by its column index.
Step 2: Identify the position we need to find, which is (3, 2). This means we are looking for the element in the 3rd row and 2nd column.
Step 3: Calculate the value at this position by multiplying the row index (3) by the column index (2).
Step 4: Perform the multiplication: 3 * 2 = 6.
Step 5: Conclude that the value at position (3, 2) in the matrix is 6.
Matrix Indexing – Understanding how to access elements in a matrix using row and column indices.
Matrix Construction – Knowing how to construct a matrix where each element is defined by a specific rule (in this case, the product of its indices).
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