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In Exercises 1 and $2,$ find the vector $\mathbf{x}$ determined by the given coordinate vector $[\mathbf{x}]_{\mathcal{B}}$ and the given basis $\mathcal{B}$ . Illustrate youranswer with a figure, as in the solution of Practice Problem $2 .$$$\mathcal{B}=\left\{\left[\begin{array}{l}{1} \\ {1}\end{array}\right],\left[\begin{array}{r}{2} \\ {-1}\end{array}\right]\right\},[\mathbf{x}]_{\mathcal{B}}=\left[\begin{array}{l}{3} \\ {2}\end{array}\right]$$

$\left[\begin{array}{l}{7} \\ {1}\end{array}\right]$

Algebra

Chapter 2

Matrix Algebra

Section 9

Dimension and Rank

Introduction to Matrices

Campbell University

McMaster University

University of Michigan - Ann Arbor

Idaho State University

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So we want to find that the ex determined by this space is determined by these coefficients. So this is very easy. Well, you need to. Do you see this? Going minus one as white mornings to one. What's three times three? So this is equal to chew. More nous one plus line three. Did you not close to gives you a phone call St.

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