Determine whether b is in col(A), as in Example 3.41. A = 1 0 2 1 -1 12 b is in col(A). b is not in col(A). 3-•-[:]~- (24-7) b = [2 -4 5 W = Determine whether w is in row(A), as in Example 3.41. w is in row(A). w is not in row(A)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
Question
Determine whether **b** is in col(A), as in Example 3.41.

\[ A = \begin{bmatrix} 1 & 1 & -4 \\ 0 & 2 & 1 \\ 1 & -1 & 5 \end{bmatrix}, \quad b = \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}, \quad w = \begin{bmatrix} 2 & 4 & -7 \end{bmatrix} \]

- ○ **b** is in col(A).
- ○ **b** is not in col(A).

Determine whether **w** is in row(A), as in Example 3.41.

- ○ **w** is in row(A).
- ○ **w** is not in row(A).
Transcribed Image Text:Determine whether **b** is in col(A), as in Example 3.41. \[ A = \begin{bmatrix} 1 & 1 & -4 \\ 0 & 2 & 1 \\ 1 & -1 & 5 \end{bmatrix}, \quad b = \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}, \quad w = \begin{bmatrix} 2 & 4 & -7 \end{bmatrix} \] - ○ **b** is in col(A). - ○ **b** is not in col(A). Determine whether **w** is in row(A), as in Example 3.41. - ○ **w** is in row(A). - ○ **w** is not in row(A).
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