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3 years ago

I need help with this question

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

i think its last one but im not so sure

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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

Los alumnos de 1° G han organizado una campaña para conseguir dinero y enviarlo a un proyecto de cooperación. Para ello han vend

goldenfox [79]

Answer:

Step-by-step explanation:

To find the number of color pencils sold you simply multiply the number of color pencils by the number of 1st classes:

$#color\ pencils\ sold=(color\ pencils\ sold\ per\ class)(number\ of \ 1st\ G\ classes)$

- each class sold 7 color pencils

- there are seven 1st G classes

Then, you replace in the formula and you obtain:

$color\ pencils\ sold=(7)(7)=49$

hence, there were 49 color pencils sold

8 0

3 years ago

Kim has a job in which she makes $8 per hour plus tips. Yesterday, Kim made a total of $53, of which $13 was from tips. How many

Sonja [21]

The answer is 5 hours. Because if she works for $8 per hour and came home with $53, you subtract the 13 from the tips which leaves you with 40, and 40 divided by 8 is 5.

8 0

3 years ago

Solve 8(x + 2) = 36 Please, Thanx! :)

9966 [12]

8(x + 2) = 36.....distribute thru the parenthesis
8x + 16 = 36....subtract 16 from both sides
8x = 36 - 16
8x = 20...divide both sides by 8
x = 20/8
x = 5/2 or 2 1/2

3 0

3 years ago

A factory processes 1,560 ounces of olive oil per hour the oil is packaged into 24 ounces bottles how many bottles does the fact

Ilya [14]

the factory fills 65 bottles per hour

8 0

3 years ago