If modulus of matrix is zero thn the matrix is??
Bajirao:
Can you send a pic
what kind of matrix is it
hello
heelo
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For an n×n matrix, each of the following is equivalent to the condition of the matrix having determinant 0:
The columns of the matrix are dependent vectors in Rn
The rows of the matrix are dependent vectors in Rn
The matrix is not invertible.
The volume of the parallelepiped determined by the column vectors of the matrix is 0.
The volume of the parallelepiped determined by the row vectors of the matrix is 0.
The system of homogenous linear equations represented by the matrix has a non-trivial solution.
The determinant of the linear transformation determined by the matrix is 0.
The free coefficient in the characteristic polynomial of the matrix is 0.
Depending on the definition of the determinant you saw, proving each equivalence can be more or less hard.
The columns of the matrix are dependent vectors in Rn
The rows of the matrix are dependent vectors in Rn
The matrix is not invertible.
The volume of the parallelepiped determined by the column vectors of the matrix is 0.
The volume of the parallelepiped determined by the row vectors of the matrix is 0.
The system of homogenous linear equations represented by the matrix has a non-trivial solution.
The determinant of the linear transformation determined by the matrix is 0.
The free coefficient in the characteristic polynomial of the matrix is 0.
Depending on the definition of the determinant you saw, proving each equivalence can be more or less hard.
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