What type of matrix has the property A = -A? (2022)
Practice Questions
Q1
What type of matrix has the property A = -A? (2022)
Symmetric matrix
Skew-symmetric matrix
Identity matrix
Diagonal matrix
Questions & Step-by-Step Solutions
What type of matrix has the property A = -A? (2022)
Step 1: Understand what a matrix is. A matrix is a rectangular array of numbers arranged in rows and columns.
Step 2: Learn about matrix properties. Some matrices have special properties that define their behavior.
Step 3: Focus on the property A = -A. This means that if you take the matrix A and multiply it by -1, you get the same matrix back.
Step 4: Recognize that this property indicates that the matrix is skew-symmetric. In a skew-symmetric matrix, the elements are arranged such that the value in position (i, j) is the negative of the value in position (j, i).
Step 5: Conclude that a matrix with the property A = -A is called a skew-symmetric matrix.
