If

is invertible, then we can simply choose

because for any invertible matrix

by definition we must have

.
We have

, as

which means

is non-singular and has an inverse. The inverse itself would be
Considering the conversion from exponent to radical, the equation that justifies why the expression
is correct is.

<h3>How is the conversion from exponent to radical realized?</h3>
The conversion of rational exponents to radical notation is modeled by:
![a^{\frac{n}{m}} = \sqrt[m]{a^n}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D%20%3D%20%5Csqrt%5Bm%5D%7Ba%5En%7D)
In this problem, the expression is:
![9^{\frac{1}{3}} = \sqrt[3]{9}](https://tex.z-dn.net/?f=9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B9%7D)
And the equation that shows that this is correct is:

More can be learned about the conversion from exponent to radical at brainly.com/question/19627260
#SPJ1
The data is categorical data
Since the data is categorical data so it's become impossible to calculate either mean or median.
Now mode:
The data with the highest frequency is the mode.
So watchful is the mode because it contained 672 peoples
The predicted time remaining has decreased by 30 years, so the second one would be the answer
It represents the entire data set and the triangles inside the circle graph represent part of the whole data set