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pishuonlain [190]

3 years ago

10

Quiz Instructions

1 answer:

bazaltina [42]3 years ago

7 0

I believe it would be dilated by 3/4

If you think of a rectangle, let’s say it is 8 by 4, the perimeter of this rectangle would be 24.

Now if you dilate the side values, you get 6 by 3 and the perimeter equals 18

So you then get 18/24 which is equal to 3/4

Hope this is right and makes sense! Have a good day!

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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

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Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

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