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Earn +20 ptsQ: Why stiffness matrix is singular?
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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 is the singular form of matrices?
The singular form of matrices is matrix.
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.
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.
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