Question
Answers
$\left[ \begin{array}{rr}{2} & {1} \\ {-1} & {4}\end{array}\right]$
We are going to do problem number 71. In this question, you have to just saw right the given expression. An exponential from this is to toe to in the two indoor to okay to four times. Okay, two is region over there too is multiplied four times. So we can just write it like the hysterically to restore the powerful. Okay, this is in the exponential fund. It also means the same off the status to should be multiplied four times. So our expression is to rest really powerful. This is the expression. This is the answer for this question. Thank you very much.
Guys for number 41 wants me to go in something like the expression I have native won over two to the power of Native. So what I'm going to do here is I'm gonna distribute the negative to to my two terms with native one and two. So I have negative one to the power of 2.5 2 hours too. Places. So it now becomes too squared on top, which is four and negative. One squared on bottom, which is one which gives me a final answer of four.
So to solve this problem, we're gonna use order of operations. I put that over here. So remember parentheses, exponents, multiplication and division left right edition instruction left to right. Now, this fraction bar means that we're going to do the entire top first and the entire bottom. And once we have an answer on each, then we'll divide. So the top of a scan through in the first and look for his parentheses, and I see them here. So first thing about a perform is seven minus two and seven months to, of course, is five. So I got four times five squared notice. I'm rewriting the entire problem exactly as I see it. Except for the seven minus two on the bottom. I'm also gonna follow pandas at the same time. So first I see parentheses. But there's nothing inside. So the next thing I'm going to do is look for exponents, which I see. So I'm going to do 12 squared, which is 144 about 144 minus eight times three. The top. I'm looking for parentheses, which I have, but there's only one number inside. Five squared is 25 so I've got four times. Five times five is 25 over one on the bottom. I have subtraction and multiplication. And according to Penn Gas, multiplication is gonna come first. So I've got 140 poor minus eight times three, which is 20 snow on the top. I'm going to do four times five because my last step, which is 100 in the bottom I've got 144 minus 1 24 which is going to be 1 20 And now if I simplify that, I'm going to divide. At first I might divide top bottom by 10 which will cut off those zeros something at 22nd and then all divide top and bottom by two, which will get me 5/6. It's also important to know that this fraction answer cannot be converted to a decimal because it would not be exactly equivalent. We have to leave it as 56
In this video, we're gonna go through the answer to question number 21 from chapter 9.4. So it has to show whether the functions X one and X to form a fundamental solution Set. First we check that they are linearly independent and actually not the new independent. So we're gonna do that by showing that you can write one as a multiple app, the above the other. So we could my ex too, as was East the two tea. But we can write the vector minus 24 as one months to mow, supplied by minus two. And what's this? This is just minus two times X one. So therefore, X war.