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Maksim231197 [3]

3 years ago

5

8+4x

mula">

1 answer:

Contact [7]3 years ago

8 0

Answer:

4(2+x^2)

ffvhjgcvvbvvggg

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Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: , T()(,),

xz_007 [3.2K]

Answer:

C. T is not one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

$T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)$

Required

Determine if it is linear or onto

Represent the above as a matrix.

$T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]$

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

8 0

3 years ago

p is a polynomial of degree 5. p has roots of multiplicity 2 at t=4 and t=0, a root of multiplicity 1 at t=-4, and p(1)=2025. Fi

DENIUS [597]

P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980

Complete Equation:

p(x) = (x^2)(x - 4)^2(x +4) + 1980

or expanded form

p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980

5 0

3 years ago

-37 4/5 divided by 4/5

AlladinOne [14]

Answer:

Step-by-step explanation:

-47.25

5 0

2 years ago

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If you drive at a speed of 50 mph how many hours will it take to drive 1340 miles

timama [110]

It would take you 26.8 hours to drive 1340 miles... I think.

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3 years ago

(2x + 3)/5 = (x - 2)/3<br><br> What is x?

RSB [31]

The answer should be 5 or -5

8 0

3 years ago