Let

and

Compute the distance from y to the line through u and the origin.

York
2021-11-05
Answered

Let

and

Compute the distance from y to the line through u and the origin.

You can still ask an expert for help

hesgidiauE

Answered 2021-11-06
Author has **106** answers

Formula for orthogonal projection:

Formula for distance:

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Let B be a 4x4 matrix to which we apply the following operations:

1. double column 1,

2. halve row 3,

3. add row 3 to row 1,

4. interchange columns 1 and 4,

5. subtract row 2 from each of the other rows,

6. replace column 4 by column 3,

7. delete column 1 (column dimension is reduced by 1).

(a) Write the result as a product of eight matrices.

(b) Write it again as a product of ABC (same B) of three matrices.

1. double column 1,

2. halve row 3,

3. add row 3 to row 1,

4. interchange columns 1 and 4,

5. subtract row 2 from each of the other rows,

6. replace column 4 by column 3,

7. delete column 1 (column dimension is reduced by 1).

(a) Write the result as a product of eight matrices.

(b) Write it again as a product of ABC (same B) of three matrices.

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Find a basis for the space of $2\times 2$ diagonal matrices.

$\text{Basis}=\{\left[\begin{array}{cc}& \\ & \end{array}\right],\left[\begin{array}{cc}& \\ & \end{array}\right]\}$

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A drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma?

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I am trying to find an easy way to compute the limit as $x\to 0$ of

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I need to evaluate a series of a function that switches sign in the following way:

$\begin{array}{r}\sum _{k=-\mathrm{\infty}}^{+\mathrm{\infty}}\frac{\text{sgn}(n-k)}{((2n+1)+B\text{sgn}(n-k))-(2k+1)}\end{array}$

where $B\in \mathbb{R}$ and $n\in \mathbb{Z}$

$\begin{array}{r}\sum _{k=-\mathrm{\infty}}^{+\mathrm{\infty}}\frac{\text{sgn}(n-k)}{((2n+1)+B\text{sgn}(n-k))-(2k+1)}\end{array}$

where $B\in \mathbb{R}$ and $n\in \mathbb{Z}$

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Solve $\mathrm{sin}(\frac{\pi}{5})$ analytically

first step I have to

Show that: $\mathrm{cos}\left(\frac{\pi}{5}\right)-\mathrm{sin}\left(\frac{\pi}{10}\right)=\frac{1}{2}$

My question is, why do I have to do that?

first step I have to

Show that: $\mathrm{cos}\left(\frac{\pi}{5}\right)-\mathrm{sin}\left(\frac{\pi}{10}\right)=\frac{1}{2}$

My question is, why do I have to do that?