Math  /  Algebra

QuestionTo find the null space of the matrix
[1721403012361104]\begin{bmatrix} 1 & 7 & -2 & 14 & 0 \\ 3 & 0 & 1 & -2 & 3 \\ 6 & 1 & -1 & 0 & 4 \end{bmatrix}
and express it as span{A,B}\operatorname{span}\{A, B\}, where AA and BB are vectors that form a basis for the null space.

Studdy Solution
表示零空间为向量的线性组合。零空间由以下向量张成:
span{[ace10],[bdf01]}\operatorname{span}\left\{ \begin{bmatrix} -a \\ -c \\ -e \\ 1 \\ 0 \end{bmatrix}, \begin{bmatrix} -b \\ -d \\ -f \\ 0 \\ 1 \end{bmatrix} \right\}

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