Question

Suppose that $B = \left( \begin{bmatrix} 0 \\ -1 \\ 1 \end{bmatrix}, \begin{bmatrix} -1 \\ -3 \\ 0 \end{bmatrix}, \begin{bmatrix} -2 \\ -9 \\ 2 \end{bmatrix} \right)$ and $C = \left( \begin{bmatrix} 3 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} 4 \\ 1 \\ 3 \end{bmatrix}, \begin{bmatrix} -6 \\ -1 \\ -8 \end{bmatrix} \right)$ are ordered bases of $\mathbb{R}^3$. Find the conversion matrix from $B$ to $C$.

Name: suppose that b left beginbmatrix 0 1 1 endbmatrix beginbmatrix 1 3 0 endbmatrix beginbmatrix 2 9 2 endbmatrix right and c left beginbmatrix 3 1 1 endbmatrix beginbmatrix 4 1 3 endbmatrix beg 37012
Uploaded: 2023-07-10T13:32:40-08:00
Duration: 2 min 57 s
Channel: Madhur L
Description: suppose that b left beginbmatrix 0 1 1 endbmatrix beginbmatrix 1 3 0 endbmatrix beginbmatrix 2 9 2 endbmatrix right and c left beginbmatrix 3 1 1 endbmatrix beginbmatrix 4 1 3 endbmatrix beg 37012

          Suppose that $B = \left( \begin{bmatrix} 0 \\ -1 \\ 1 \end{bmatrix}, \begin{bmatrix} -1 \\ -3 \\ 0 \end{bmatrix}, \begin{bmatrix} -2 \\ -9 \\ 2 \end{bmatrix} \right)$ and $C = \left( \begin{bmatrix} 3 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} 4 \\ 1 \\ 3 \end{bmatrix}, \begin{bmatrix} -6 \\ -1 \\ -8 \end{bmatrix} \right)$ are ordered bases of $\mathbb{R}^3$. Find the conversion matrix from $B$ to $C$.

suppose that b left beginbmatrix 0 1 1 endbmatrix beginbmatrix 1 3 0 endbmatrix beginbmatrix 2 9 2 endbmatrix right and c left beginbmatrix 3 1 1 endbmatrix beginbmatrix 4 1 3 endbmatrix beg 37012

Added by Cristian S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/10/2023

Step 1

We have $b_1 = \begin{bmatrix} 0 \\ -1 \\ 1 \end{bmatrix}$, $b_2 = \begin{bmatrix} -1 \\ -3 \\ 0 \end{bmatrix}$, $b_3 = \begin{bmatrix} -2 \\ -9 \\ 2 \end{bmatrix}$ $c_1 = \begin{bmatrix} 3 \\ 1 \\ 1 \end{bmatrix}$, $c_2 = \begin{bmatrix} 4 \\ 1 \\ 3 Show more…

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Suppose that $B = \left( \begin{bmatrix} 0 \\ -1 \\ 1 \end{bmatrix}, \begin{bmatrix} -1 \\ -3 \\ 0 \end{bmatrix}, \begin{bmatrix} -2 \\ -9 \\ 2 \end{bmatrix} \right)$ and $C = \left( \begin{bmatrix} 3 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} 4 \\ 1 \\ 3 \end{bmatrix}, \begin{bmatrix} -6 \\ -1 \\ -8 \end{bmatrix} \right)$ are ordered bases of $\mathbb{R}^3$. Find the conversion matrix from $B$ to $C$.