Consider the following. V = M221 Complete the following statements. The elements of set B --Select-- v linearly independent. The set B has elements and dim(M22) =| Therefore, the set B --Select-- v a basis for V. Need Help? Read It
Consider the following. V = M221 Complete the following statements. The elements of set B --Select-- v linearly independent. The set B has elements and dim(M22) =| Therefore, the set B --Select-- v a basis for V. Need Help? Read It
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Consider the following.**
\( V = M_{22}, B = \left\{ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}, \begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix}, \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}, \begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix} \right\} \)
Complete the following statements.
The elements of set \( B \) [Drop-down menu option] linearly independent.
The set \( B \) has [blank] elements and \(\text{dim}(M_{22}) = \) [blank].
Therefore, the set \( B \) [Drop-down menu option] a basis for \( V \).
---
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Transcribed Image Text:**Consider the following.**
\( V = M_{22}, B = \left\{ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}, \begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix}, \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}, \begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix} \right\} \)
Complete the following statements.
The elements of set \( B \) [Drop-down menu option] linearly independent.
The set \( B \) has [blank] elements and \(\text{dim}(M_{22}) = \) [blank].
Therefore, the set \( B \) [Drop-down menu option] a basis for \( V \).
---
**Need Help?** [Button: Read It]
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