Mathematics II20795 marksNumerical: linear independence of columnsLinear independence
Determine the column of the matrix A are linearly independent, where A = beginbmatrix -2 & 8 & -1 0 & 0 & 0 0 & -5 & 3 endbmatrix
Determine the column of the matrix A are linearly independent, where $A = \begin{bmatrix} -2 & 8 & -1 \ 0 & 0 & 0 \ 0 & -5 & 3 \end{bmatrix}$ [5]
$$A = \begin{bmatrix} -2 & 8 & -1 \ 0 & 0 & 0 \ 0 & -5 & 3 \end{bmatrix}$$ Columns: - $\mathbf{a}1 = \begin{bmatrix} -2 \ 0 \ 0 \end{bmatrix}$, $\mathbf{a}2 = \begin{bmatrix} 8 \ 0 \ -5 \end{bmatrix}$, $\mathbf{a}3 = \begin{bmatrix} -1 \ 0 \ 3 \end{bmatrix}$ The columns are linearly indep...