Answer:
C. T is not one-to-one because the standard matrix A has a free variable.
Step-by-step explanation:
Given
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]](https://tex.z-dn.net/?f=T%28x_1%2Cx_2%2Cx_3%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-5%264%5C%5C0%261%26-6%5C%5C0%260%260%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx_1%26x_2%26x_3%5Cend%7Barray%7D%5Cright%5D)
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
I'm not really sure, but I think the answer is D
18=2(5)+b
b=8 y intercept is 8
0=2(x)+8
-8=2x
x=-4
X intercept is -4
THE 5 IDENTICAL SHELVES WOULD have to be 76 because if you take 400 - 20 (because that left over) you get 380/5 you get 76 and to check your work you do 5x76=380+20 you get 400 so 76 is you answer
Answer: Have a good day. I’m sorry you have to go through this, my head already hurts and I am just lōoking at it.
