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3 years ago

When you are doing Rotations what is the easiest way to figure out which quadrant the figure should be in?

Mathematics

2 answers:

Fudgin [204]3 years ago

5 0

Answer:

the first one

Step-by-step explanation:

garik1379 [7]3 years ago

5 0

Answer:

Num 1

Step-by-step explanation:

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Let [v1,v2,v3] be a set of nonzero vectors in r^m such that the (transpose of vi)*vj = 0 when i is not equal to j. show that the

babunello [35]

Let $\mathbf V$ be the $m\times3$ matrix whose columns are $\mathbf v_1,\mathbf v_2,\mathbf v_3$ , and let $\mathbf c$ be the vector whose components are the constants $c_1,c_2,c_3$ . Now consider the matrix equation

$\mathbf V\mathbf c=\mathbf 0$

Multiplying both sides by $\mathbf V^\top$ , we have

$\mathbf V^\top(\mathbf V\mathbf c)=(\mathbf V^\top\mathbf V)\mathbf c=\mathbf 0$

More explicitly, we're writing

$\mathbf V=\begin{bmatrix}\mathbf v_1&\mathbf v_2&\mathbf v_3\end{bmatrix}$

Multiply both sides by $\mathbf V^\top$ and the left hand side can be written as

$\mathbf V^\top\mathbf V=\begin{bmatrix}{\mathbf v_1}^\top\\{\mathbf v_2}^\top\\{\mathbf v_3}^\top\end{bmatrix}\begin{bmatrix}\mathbf v_1&\mathbf v_2&\mathbf v_3\end{bmatrix}=\begin{bmatrix}{\mathbf v_1}^\top\mathbf v_1&{\mathbf v_1}^\top\mathbf v_2&{\mathbf v_1}^\top\mathbf v_3\\{\mathbf v_2}^\top\mathbf v_1&{\mathbf v_2}^\top\mathbf v_2&{\mathbf v_2}^\top\mathbf v_3\\{\mathbf v_3}^\top\mathbf v_1&{\mathbf v_3}^\top\mathbf v_2&{\mathbf v_3}^\top\mathbf v_3\end{bmatrix}$

We're told that ${\mathbf v_i}^\top\mathbf v_j=0$ whenever $i\neq j$ , so we're left with

$\mathbf V^\top\mathbf V=\begin{bmatrix}\|\mathbf v_1\|^2&0&0\\0&\|\mathbf v_2\|^2&0\\0&0&\|\mathbf v_3\|^2\end{bmatrix}$

Each of $\mathbf v_1,\mathbf v_2,\mathbf v_3$ are nonzero, which means their norms are nonzero, which necessarily implies that $\mathbf c=0$ , and so the vectors $\mathbf v_1,\mathbf v_2,\mathbf v_3$ must necessarily be linearly independent.

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3 years ago

Your text suggests that you look for an agent who has been in the insurance business for how long?

denis-greek [22]

I think it’s D good luckk

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3 years ago

Please help!! Will give Brainlyest!

attashe74 [19]

Answer:

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Step-by-step explanation:

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3 years ago

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Match the equation with the step needed to solve it.

saveliy_v [14]

To Match

To isolate -1 we need to subtract 2m from both sides

2m - 1 = 3m (SUBTRACT 2m)

To isolate 1 we need to subtract m from both sides

2m = 1 + m (SUBTRACT m)

To isolate m we need to add 1 from both sides

m - 1 = 2 (ADD 1)

To isolate m we need to subtract 2 from both sides

2 + m = 3 (SUBTRACT 2)

To isolate m we need to add 2 from both sides

-2 + m = 1 (ADD 2)

To isolate m we need to subtract 1 from both sides

3 = 1 + m (SUBTRACT 1)

The steps needed are written in bold.

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3 years ago

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faust18 [17]

Answer:

1. gcf: 6 lcm: 660

2. gcf: 2 lcm: 308

3. gcf: 7 lcm: 56

4. gcf: 2 lcm: 220

5. gcf: 1 lcm: 52

Step-by-step explanation:

Hope this helps :)

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2 years ago