Answer:
This tells us that:
![A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%267%5C%5C5%26-8%5C%5C3%26-9%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
So we are saying we have scalars, c and d, such that:
.
So we want to find a way to express this as:
Ax=b where x is the scalar vector,
.
So we can write this as:
![\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%267%5C%5C5%26-8%5C%5C3%26-9%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dc%5C%5Cd%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-16%5C%5C3%5C%5C-15%5Cend%7Barray%7D%5Cright%5D)
Answer:
Yes the linear transformation is one to one and it maps a set of real numbers R cubed onto set of real numbers R cubed
Step-by-step explanation:
To show that the linear transformation is one to one, we must show that the columns are linearly independent columns (i.e it must have the trivial solution)
![A = \left[\begin{array}{cccc}1&-2&3&0\\-1&3&-4&0\\-5&-2&9&0\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-2%263%260%5C%5C-1%263%26-4%260%5C%5C-5%26-2%269%260%5Cend%7Barray%7D%5Cright%5D)
For the Augumented matrix A and applying Row Reduction Formula we have that
= ![\left[\begin{array}{cccc}1&-2&3&0\\0&1&-1&0\\0&0&-18&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-2%263%260%5C%5C0%261%26-1%260%5C%5C0%260%26-18%260%5Cend%7Barray%7D%5Cright%5D)
we can deductively see that 
Since the columns are linearly independent, Hence it is a one-to-one transformation and it maps a set of real numbers R cubed onto set of real numbers R cubed
That should be 125i. If you have a graphing calculator you should be able to just enter it into the calculator to solve lol
Answer:
B) False
Step-by-step explanation:
Counterexample
| 2x + 3 | = 7
2x + 3 = +7 , -7
Answer:

Step-by-step explanation:
Trigonometry ratios:

