Friday

March 6, 2015

March 6, 2015

Posted by **chris** on Wednesday, July 11, 2007 at 9:08pm.

If A is nonsingular then the equation:

A x = y

has a unique solution. Now, the equation:

A x = 0

always has a solution:

x = 0.

If A is nonsingular, then this must thus be the only solution. This means that the null space of A is the zero dimensional vector space containing only the null vector 0.

**Answer this Question**

**Related Questions**

math - If A^TA is an invertible matrix, prove that the column vectors of A are ...

Linear Algebra - Fnd the left null space of matrix A = [5 -3 1] [-2 4 -6] [11 -8...

science - 1 A ……... is a rectangular array of numbers that are ...

Algebra II (Matrices) - My book doesn't solve it like a linear equation, they ...

Linear algebra - Consider for every real number a the linear system of equations...

Lin. Alegra Help - Suppose that you are given the following system of linear ...

algebra - Which has a Unique solution, No solution, or infinitely many ...

math,algebra II - I have to work with these types of problems dealing with ...

Augmented Matrix - Perform row operations on the augmented matrix as far as ...

matric - Let matrix p= [6 -4] 1 0 If where a and b are real numbers, I is a ...