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Let $\mathbf{b}_{1}=\left[\begin{array}{l}{3} \\ {0}\end{array}\right], \mathbf{b}_{2}=\left[\begin{array}{r}{-1} \\ {2}\end{array}\right], \mathbf{w}=\left[\begin{array}{r}{7} \\ {-2}\end{array}\right], \mathbf{x}=\left[\begin{array}{l}{4} \\ {1}\end{array}\right], \quad$ and $\mathcal{B}=\left\{\mathbf{b}_{1}, \mathbf{b}_{2}\right\} .$ Use the figure to estimate $[\mathbf{w}]_{\mathcal{B}}$ and $[\mathbf{x}]_{\mathcal{B}}$ .Confirm your estimate of $[\mathbf{x}]_{\mathcal{B}}$ by using it and $\left\{\mathbf{b}_{1}, \mathbf{b}_{2}\right\}$ to compute $\mathbf{x} .$

$[\mathbf{w}]_{\mathrm{p}}=\left[\begin{array}{l}{2} \\ {-1}\end{array}\right]$ and $[\mathbf{x}]_{\mathrm{p}}=\left[\begin{array}{l}{1.5} \\ {0.5}\end{array}\right]$$\left[\begin{array}{l}{4} \\ {1}\end{array}\right]$

Algebra

Chapter 2

Matrix Algebra

Section 9

Dimension and Rank

Introduction to Matrices

Missouri State University

McMaster University

Baylor University

University of Michigan - Ann Arbor

Lectures

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In Exercises $29-32,$ solv…

I get in this question, we want to estimate xB wybie that being using this graph so it's too many X B. First, this is equal to well, we have to go positive, too, in the B one direction and negative one in the B two directions. So two and 91 why be well in this case will have to go 1.5 in the B one direction and one in the basic direction at one point by one. That be is equal to negative 045 in the negative, one in the B one direction and negative 0.5 in two directions. Native one and native 0.5. So to confirm our estimates will have for why we have one point. Why would be one? So is there too plus one title be choosers to one just equal to 0.51 point five times. Syracuse is one times two gives you two plus two 1.5 times to give you three. Just one time. One gives you one. This is your four, which is a good buy. Now Ford is dead. We have negative one times like be one. So it is right minus 0.5 ton of feature, which is 21 So this is equal to negative. One time zero gives us no negative. 0.5 times like to give your minus one negative one times are too did in 92 negative 0.5 times by one getting next zero point just equal to make to one negative 2.5, which is equal to that.

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