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A singular matrix is a matrix which has no inverse because its determinant is zero. If you recall, the inverse of a matrix is
1/ ad-bc multiplied by:
[ d -b ]
[-c a ]
If ad-bc = 0, then the inverse matrix would not exist because 1/0 is undefined, and hence it would be a singular matrix.
E.g.
[ 1 3]
[ 2 6]
Is a singular matrix because 6x1-3x2 = 0.
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What is the singular form of matrices?
The singular form of matrices is matrix.
Why are unrestrained global stiffness matrix singular?
A singular matrix is one that has a determinant of zero, and it has no inverse. Global stiffness can mean rigid motion of the body.
When will a system of linear equations be inconsistent?
When the matrix of coefficients is singular.
Is Inverse of the inverse matrix the original matrix?
Let A by an nxn non-singular matrix, then A-1 is the inverse of A. Now (A-1 )-1 =A So the answer is yes.
When can you not invert a matrix?
If it is not a square matrix. You cannot invert a square matrix if it is singular. That means that at least one of the rows of the matrix can be expressed as a linear combination of the other rows. A simple test is that a matrix cannot be inverted if its determinant is zero.
