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$\mathbf{A}=\left[ \begin{array}{rr}{3} & {-2} \\ {0} & {3}\end{array}\right]$
Give us the point negative to be in an equation to expose three. Why equals two? That's an order. Self a beer display those values in from my ex and my wife. So I have two times negative too, equals three equals. Sorry, No plus three being equals two. So if I add Ford about sides will have three. B is equal to six and therefore B is equal to two. Thank you very much.
Let's start off by distributing the 0.1 in front of the parentheses will multiply that trends. Each number inside 0.1 times a is your appoint one A through a point. One times negative 0.2 is negative, 0.2 Next, we'll take our like terms, and we'll try to get them to be on the same side so we can subtract 0.1 a from both sides, and we'll subtract 1.2 from both sides. The's cancel out, as do these on the left side, we're left with negative 1.22 on the right side, we're left with 2 23 a. Then we'll divide both sides by 2.3 and A is equal to about negative 0.53.
Here when you're evaluating the expression X Y, when X is equal to and why is equal to one leg and do stick the value of X and replace it in the expression in transit sees. Take the value of why and place it in the vetting expression with prophecies because X Y is X times the quantity of wine or into layers or touching this multiplication between them. This is X times y or the quantity of x two times the quantity of why one. So it's really just two times one and what is two times one it's too.
Two matrices one so to about two by two matrices. One of them is one. Get to two number three. The other one is A, B, C and D, and we're told that the product of these two moochers sees equal 1032 and we had use multiply. So take the first row of the first matrix and then take the set and well supplied by the college. Second, call it the first column and we get this is a minus two C and is equal to this value over here upper right ever upper left corner, which is equal to one. And we're also told eso weaken do, uh, The first row will supply by the second column and we get B minus two D, and this is equal to zero. And then when you multiply the same thing, you do the same thing with the bottom row. You get to a minus three C and Siegel to three and you do the second row. Multiply with the second column and get to D E to the minus three D minus three D. And this is equal to two. So just looking at these, uh, problems, we can take. For example, um, this value over here we can multiply this. So these these equations, both of these creations have A and C variables. So we want to take We want to multiply each of them, but are actually just multiply this one by two and you get to a two a minus four c equals two and what this is is allow allows us to subtract thes two equations from each other minus two AM industry. See, he goes three because that's to a disappears and in the leg afford C plus three seat becomes negative. C equals negative one. So C is equal to one. And just like that, we have our first variable value and we complex c back into the equation. So a minus two is equal to 1 to 2 boats eyes we get a is equal to three and now we can move on to thes sets of equations so we can multiply. Since this is to weaken, multiply this equation by to a swell I to and this becomes to be minus four d equals zero and we want to subtract that from to be or subtract 23 d equals two. And to me, my studio zero mega for B minus Mega three zt is negative d and this is equal to so is equal to zero Negative too. So D is equal to is equal to two. And we complete this back into the equation. And we get, um we get B minus four is equal to zero and B is equal to four. So now we have our matrix. You have a is three b is four. See? Is one Andy is too. So this is our matrix.