Determinant Theorem

Given a Matrix , the following are equivalent:

1. .

2. The columns of m are linearly independent.

3. The rows of m are linearly independent.

4. Range(m) = .

5. Null(m) = .

6. m has a Matrix Inverse.

• q-Sine
• Quadrable
• Quadrangle
• Quadrant
• Quadratfrei
• Quadratic Congruence
• Quadratic Curve
• Quadratic Effect
• Quadratic Equation
• Quadratic Field
• Quadratic Form
• Quadratic Formula
• Quadratic Integral
• Quadratic Invariant
• Quadratic Irrational Number
• Quadratic Map
• Quadratic Mean
• Quadratic Reciprocity Law
• Quadratic Reciprocity Relations
• Quadratic Reciprocity Theorem
• Quadratic Recurrence
• Quadratic Residue
• Quadratic Sieve Factorization Method
• Quadratic Surd
• Quadratic Surface