Question

Let $a_1 = \begin{bmatrix} -5 \ -2 \ -1 \end{bmatrix}$, $a_2 = \begin{bmatrix} h \ 5 \ 5 \end{bmatrix}$, and $a_3 = \begin{bmatrix} 30 \ -3 \ 1 \end{bmatrix}$. The set {$a_1, a_2, a_3$} will span $\mathbb{R}^3$ unless $h = $

          Let $a_1 = \begin{bmatrix} -5 \ -2 \ -1 \end{bmatrix}$, $a_2 = \begin{bmatrix} h \ 5 \ 5 \end{bmatrix}$, and $a_3 = \begin{bmatrix} 30 \ -3 \ 1 \end{bmatrix}$.
The set {$a_1, a_2, a_3$} will span $\mathbb{R}^3$ unless $h = $

Let a1 =
< b m a t r i x >, a2 =
< b m a t r i x >, and a3 =
< b m a t r i x >.
The set a1, a2, a3 will span ℝ^3 unless h =

Added by Matthew O.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Willis James

09/14/2024

Step 1

Step 1: The set {$a_1, a_2, a_3$} will span $\mathbb{R}^3$ if and only if the vectors $a_1, a_2, a_3$ are linearly independent. Show more…

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Let $a_1 = \begin{bmatrix} -5 \\ -2 \\ -1 \end{bmatrix}$, $a_2 = \begin{bmatrix} h \\ 5 \\ 5 \end{bmatrix}$, and $a_3 = \begin{bmatrix} 30 \\ -3 \\ 1 \end{bmatrix}$. The set {$a_1, a_2, a_3$} will span $\mathbb{R}^3$ unless $h = \boxed{}$.