Question: Which of the following is a symmetric matrix? (2020)
Options:
[[1, 2], [3, 4]]
[[1, 2], [2, 1]]
[[1, 0], [0, 1]]
[[0, 1], [1, 0]]
Correct Answer: [[1, 2], [2, 1]]
Exam Year: 2020
Solution:
A symmetric matrix is one that is equal to its transpose. The matrix [[1, 2], [2, 1]] is symmetric.
Which of the following is a symmetric matrix? (2020)
Practice Questions
Q1
Which of the following is a symmetric matrix? (2020)
[[1, 2], [3, 4]]
[[1, 2], [2, 1]]
[[1, 0], [0, 1]]
[[0, 1], [1, 0]]
Questions & Step-by-Step Solutions
Which of the following is a symmetric matrix? (2020)
Step 1: Understand what a symmetric matrix is. A symmetric matrix is a square matrix that is equal to its transpose.
Step 2: Know what a transpose of a matrix is. The transpose of a matrix is formed by flipping it over its diagonal, which means the row and column indices are switched.
Step 3: Check the given matrix. For example, take the matrix [[1, 2], [2, 1]].
Step 4: Find the transpose of the matrix. The transpose of [[1, 2], [2, 1]] is also [[1, 2], [2, 1]].
Step 5: Compare the original matrix with its transpose. Since they are the same, the matrix is symmetric.
No concepts available.
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