What does it mean for a matrix to be singular?a.It is equal to its inverse.b.It is equal to its transpose.c.It is a square matrix.d.It has no inverse
Question
What does it mean for a matrix to be singular?a.It is equal to its inverse.b.It is equal to its transpose.c.It is a square matrix.d.It has no inverse
Solution
A singular matrix is a square matrix that does not have an inverse. This happens when the determinant of the matrix is zero. This means that the rows (or columns) of the matrix are linearly dependent, i.e., one row (or column) can be expressed as a linear combination of the others. This is not related to the matrix being equal to its transpose or its inverse. So, the correct answer is d. It has no inverse.
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