(See Steps) Let A=[rrr3 -2 -5 , 9 0 6] and x=[c4 , 21 , -6]. Is x ∈ null; A ? Find a basis for null A. What is the rank of A
Question: Let \(A=\left[\begin{array}{rrr}3 & -2 & -5 \\ 9 & 0 & 6\end{array}\right]\) and \(\vec{x}=\left[\begin{array}{c}4 \\ 21 \\ -6\end{array}\right]\).
- Is \(\vec{x} \in \operatorname{null} A\) ?
- Find a basis for null \(A\).
- What is the rank of \(A\) ?
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