Mathematics: Please helpppppp mmeeeeee

Please helpppppp mmeeeeee - id12304410, billy1123

Ответ:

antboogie7615

23.06.2021

$A= \left[\begin{array}{ccc}1&1&1\\1&1&1\\1&1&1\end{array}\right]$ and b=(1,0,0)

Step-by-step explanation:

You can choose a 3x3 matrix whose colums are not linearly independet. (observe that if you choose 3 independet vectors as columns of your matrix, the set spanned by the colums will be $\mathbb{R}^3$ and there would not be such b).

Consider the vector b=(1,0,0) and the 3x3 matrix

$\left[\begin{array}{ccc}1&1&1\\1&1&1\\1&1&1\end{array}\right]$

Then, the set spanned by the columns is

span{(1,1,1)}= { $\lambda (1,1,1): \lambda \in \mathbb{R}$ }

So,

$b \notin span(1,1,1)$ as we wanted.

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Please helpppppp mmeeeeee

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