# Solve ax 0

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## THE NULLSPACE OF A: SOLVING AX = 0 3.2

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## 1.5 Solution Sets Ax = 0 and Ax = b Definition. The rank of a

\$\begingroup\$ This isn't in the form \$Ax = 0\$, so the zero vector is the only solution iff \$A\$ is invertible statement doesn't apply here. In fact, \$Ax = b\$ has the trivial

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## Find the Vector Form Solution to the Matrix Equation Ax=0

Find the vector form solution x of the equation Ax = 0. We reduce the augmented matrix as follows: [A ∣ 0] = [1 1 1 1 2 0 1 2 4 0 5 0 3 2 0 5 2 0] R2 − R1 → R3 − 3R1 [1 1 1 1 2 0 0
x

## The Matrix Equation Ax = b Section 1.5: Solution Sets of

You are not solving AX=0. But AᵀX=0. Because the equation you gave was np.array(x) @ A. x is a 1D array. Which means that it is treated as a line or as a column

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