Question:
The inverse of a symmetric matrix is :
The inverse of a symmetric matrix is :
Updated On: Jul 7, 2022
- diagonal matrix
- skew symmetric matrix
- square matrix
- a symmetric matrix
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The Correct Option is D
Solution and Explanation
We know that the inverse of a symmetric matrix is a symmetric matrix.
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Notes on Invertible Matrices
Concepts Used:
Invertible matrices
A matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions is known as an invertible matrix. Any given square matrix A of order n × n is called invertible if and only if there exists, another n × n square matrix B such that, AB = BA = In, where In is an identity matrix of order n × n.
For example,
It can be observed that the determinant of the following matrices is non-zero.
