Question
Download Solution PDF‘0' is a characteristic root of a matrix, if and only if, the matrix is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSingular Matrix: A matrix is said to be singular if and only if its determinant is equal to zero.
Singular matrix example:
A = \(\begin{bmatrix} 1 & 2\\ 1 & 2 \end{bmatrix}\)
Singular Matrix Properties:
- A matrix is said to be singular if and only if its determinant is equal to zero.
- A singular matrix is a matrix that has no inverse such that it has no multiplicative inverse.
Application:
Characteristics equation of matrix can be written as,
|A - λI| = 0
If; λ = 0
|A| = 0
Hence, the matrix is singular matrix.
Last updated on Jul 2, 2025
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