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Hints when solving word problems 1. Read the entire problem first. 2. Ask yourself, “what are the variables that we are trying to solve for and what do they represent?”. 3. What is the total cost and what does it represent/how is it created (from the cost of each item)? 4. Is...
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\begin{aligned}[ \bar{\rho}_{q_1}, \bar{\rho}_{q_2} ] & = - q_{1a} q_{2b} [\bar{r}_a , \bar{r}_b] + \mathcal{O}(q^3) \\& = i (q_1 \wedge q_2) \sum_{k} \mathcal{B}^\alpha(k) |k ,\alpha \rangle \langle k, \alpha | + \mathcal{O}(q^3)\...
For a ellipse ax2+2bxy+cy2=1, we can represent it by xTAx. x=[x y]. Then A=Q^QT, Qx is the new variables. Thus we can get the axis of ellipse along the axis. 6.6 Similar matrices Let M be any invertible matrix. Then B=M-1AM is similar to A. Similar means B and A sh...
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