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What is the determinant of a 2x1 matrix?
The determinant is only defined for square matrices.
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.
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.
What does it mean for a matrix to be triangular?
A square matrix in which all the entries of the main diagonal are zero
What is a singular matrix?
A singular matrix is a matrix which has no inverse because its determinant is zero. If you recall, the inverse of a matrix is1/ 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.
