Which of the following matrices is symmetric? (2023)
Practice Questions
Q1
Which of the following matrices is symmetric? (2023)
A = [[1, 2], [3, 4]]
B = [[1, 2], [2, 1]]
C = [[1, 0], [0, 1]]
D = [[1, 2, 3], [4, 5, 6]]
Questions & Step-by-Step Solutions
Which of the following matrices is symmetric? (2023)
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: Identify the matrices you need to check for symmetry. Look at each matrix provided in the question.
Step 4: For each matrix, calculate its transpose. This involves switching the rows and columns.
Step 5: Compare each matrix with its transpose. If a matrix is the same as its transpose, it is symmetric.
Step 6: Conclude which matrix or matrices are symmetric based on your comparisons.
