For each matrix A in Exercises 1 through 13, find vectors that span the kernel of A. Use

Chapter 3, Problem 1

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QUESTION:

For each matrix A in Exercise, find vectors that span the kernel of A. Use paper and pencil.

\(A=\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\)

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QUESTION:

For each matrix A in Exercise, find vectors that span the kernel of A. Use paper and pencil.

\(A=\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\)

ANSWER:

Step 1 of 3

To calculate a kernel we need all \(\vec{x}\) such as \(A \vec{x}=0\) so

\(A \vec{x}=0\) to \(\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\left[\begin{array}{l}
x_{1} \\
x_{2}
\end{array}\right]=0\)

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