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3 years ago

PLEASE HELP!!!!!!!!

Mathematics

1 answer:

marshall27 [118]3 years ago

4 0

Answer:

Step-by-step explanation:

I took the quiz :)

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LetT: P2 → P4be the linear transformationT(p) = 4x2p.Find the matrix A for T relative to the basesB = {1, x, x2}andB' = {1, x, x

ExtremeBDS [4]

Answer: The required matrix A is

$A=\left[\begin{array}{ccc}0&0&0\\0&0&0\\4&0&0\\0&4&0\\0&0&4\end{array}\right]_{5\times3} .$

Step-by-step explanation: We are given the following linear transformation :

$T:P^2\Rightarrow P^4,~~~~~~~~~~~~~T(p)=4x^2p.$

We are to find the matrix A relative to the bases $B=\{1,x,x^2\}$ and $B^\prime=\{1,x,x^2,x^3,x^4\}.$

We have

$T(1)=4x^2\times1=4x^2=0\times1+0\times x+4\times x^2+0\times x^3+0\times x^4,\\\\T(x)=4x^2\times x=4x^3=0\times1+0\times x+0\times x^2+4\times x^3+0\times x^4,\\\\T(x)=4x^2\times x^2=4x^4=0\times1+0\times x+0\times x^2+0\times x^3+4\times x^4.$

Therefore, the matrix A is of order 5 × 3, given by

$A=\left[\begin{array}{ccc}0&0&0\\0&0&0\\4&0&0\\0&4&0\\0&0&4\end{array}\right]_{5\times3} .$

Thus, the required matrix A is

$A=\left[\begin{array}{ccc}0&0&0\\0&0&0\\4&0&0\\0&4&0\\0&0&4\end{array}\right]_{5\times3} .$

4 0

3 years ago

Does this graph represent a function? Why or why not?

Illusion [34]

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Step-by-step explanation:

<h3>hope it helps you from my side </h3>

5 0

3 years ago

Read 2 more answers

Mrs. washington's class has x student. Three-fourths of these students like pizza.If 21 students in the class like pizza, which

gavmur [86]

It’s c have a good day pls brainlest):

7 0

3 years ago

What is the answer ???????

Neporo4naja [7]

You have to calculate the probability that it lands on 4. There are 2 possibilities from the 8 that it lands on 4. So the chance is 2/8, which is the same as 4/16

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3 years ago

Define a function pyramid volume with double parameters baselength, basewidth, and pyramid height, that returns as a double the

nalin [4]

Declaring the volume function double PyramidVolume(double baseLength, double baseWidth, double pyramidHeight){ double baseArea = baseLength * baseWidth; double vol = ((baseArea * pyramidHeight) * 1/3); return vol; } int main() { cout << "Volume for 1.0, 1.0, 1.0 is: " << PyramidVolume(1.0, 1.0, 1.0) << endl; return 0; } Defining the function, include <iostream> double PyramidVolume(double, double, double); int main() { std::cout << "Volume for 1.0, 1.0, 1.0 is: " << PyramidVolume(1.0, 1.0, 1.0) << std::endl; return 0; } double PyramidVolume(double length, double width, double height) { return length * width * height / 3; }

5 0

3 years ago

PLEASE HELP!!!!!!!!​

PLEASE HELP!!!!!!!!