2 years ago

8

Mathematics

1 answer:

Ronch [10]2 years ago

3 0

Where are the numbers?

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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

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2 years ago

One fourth of the 120 students took wood shop. How many students did not take wood shop?

yawa3891 [41]

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

$\frac{3}{4}(120)$

Find common factors between 4 and 120 to simplify, so 4.

$\frac{3}{1} (30)$

Now multiple across to get 90.

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3 years ago

What is equivalent to 24b-34ab

jarptica [38.1K]

This is what I got as the answer, 2b x (12-17a)

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What is the constant rate of proportionality in the equation, y=3.5x

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The constant rate is 3.5

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Quick Help please !!! Don’t really know what to do :(

yanalaym [24]

Answer:

do you have to find the perimeters? or areas?

Step-by-step explanation:

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3 years ago