- [23²] 42-[ ] 4 - [3 ¹ A₂ = A3 = Let A₁ = A₂ + and B = n span(A₁, A2, A3)? No then express Bl as a linear combination of A₁, A2, and A3 by filling in the three missing scalars below. -₂ then instead enter DNE in each blank below. A₁ + A3- 4 7 -8 5
- [23²] 42-[ ] 4 - [3 ¹ A₂ = A3 = Let A₁ = A₂ + and B = n span(A₁, A2, A3)? No then express Bl as a linear combination of A₁, A2, and A3 by filling in the three missing scalars below. -₂ then instead enter DNE in each blank below. A₁ + A3- 4 7 -8 5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let \( A_1 = \begin{bmatrix} 0 & -2 \\ 2 & 0 \end{bmatrix} \), \( A_2 = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), \( A_3 = \begin{bmatrix} -1 & 1 \\ 0 & -2 \end{bmatrix} \), and \( B = \begin{bmatrix} 4 & 7 \\ -8 & 5 \end{bmatrix} \).
Is \( B \) in \(\text{span}(A_1, A_2, A_3)\)? [Dropdown: No]
If so, express \( B \) as a linear combination of \( A_1, A_2, \) and \( A_3 \) by filling in the three missing scalars below. If not, enter DNE in each blank below.
\[ \underline{\qquad} A_1 + \underline{\qquad} A_2 + \underline{\qquad} A_3 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf673b33-84d3-4207-a3d8-77b439e8ab65%2F93d9bf14-ab5b-4456-a50c-c4a09af774c1%2Fds6465_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( A_1 = \begin{bmatrix} 0 & -2 \\ 2 & 0 \end{bmatrix} \), \( A_2 = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), \( A_3 = \begin{bmatrix} -1 & 1 \\ 0 & -2 \end{bmatrix} \), and \( B = \begin{bmatrix} 4 & 7 \\ -8 & 5 \end{bmatrix} \).
Is \( B \) in \(\text{span}(A_1, A_2, A_3)\)? [Dropdown: No]
If so, express \( B \) as a linear combination of \( A_1, A_2, \) and \( A_3 \) by filling in the three missing scalars below. If not, enter DNE in each blank below.
\[ \underline{\qquad} A_1 + \underline{\qquad} A_2 + \underline{\qquad} A_3 \]
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