Hello, students here. We've been given two mattresses. So let's see what turned off my tresses given and then we'll discuss what they represents. So, 1st 1st rule of the first my Texas to 17 minus 23 40 zero. So this is for strove. First, my tricks. Second of this matrix is to fight 25130 13 0/3 and last choice 01 minus 230 minus two three zero. The second metrics given here is the 1st 2 is 10 105.5 zero and little second rule of this matrix 01 01 minus do zero zero the last 12 This matrix is zero zero zero one zero. Now these two mattresses are given and it is said that the 1st 2 matrix that is this matrix is it? This metrics represented augmented a question off a system of equations having four variables. And on the other hand, this is the kind of my tricks is the reduced form off This augmented my trees the first matrix. So this first mark dresses representing the system of the questions having for dinner tables and the Second Matrix is that reduced a form of the first Matrix. Now what we have to do here, we just have to form the question. The system, a few questions using the first Matrix and we have to kill cleared the value of David Abels using this second metrics. So this matrix was as I told you, this is actresses. Now let's suppose that the but he will start the blue X wiser. So W X y. So the first troubled represented cough went off the blue. The second double represented a coefficient of X. Similarly y ended, and we have to form the equation system of equations using, given my tax here. So let's form it step by step. Now for if you focus on the first True, the coefficients of W X Prize that are to 17 minus 23 40 end constant This last lawyers constant. So from this figure, the we will get the question as to w through the blue plus 17 x Let's 17 x minus 23 way minus one degree by plus 40 0 plus forties or physical +20 Right, so this is our first question. Second, the question will be caution of the Blues, too. So to the blue, I would have no and the question off excess five plus five x Let's five exit cautioned a wise one, traditionally plus away plus y plus threes. All right, three, that this is equal to zero. This is our second equation. Third and finally, question is question of the blue is zero. So this will be as it is, zero cogent off excess one. So it will start with X cogent advise minus two So minus two Y caution of that is three. So plus trees there, this is equal to zero. So these three questions are the system off the questions? Now we have to use the second test off calculate the values of the blue X wiser. So let me just first awful divide the page right here. No one thing One important one to note here is that we have only three questions because the mundane matters contest up on to the rose. So we have only three questions and the number of available. So here we have the Blue Advisor, that is for so in any case, we are not going to get a get a unique solution here. So we'll get only dependent solution. So this was the important point. The note. So you'll get only different in solution for file finding out the values off variable to independent solutions. What we will do you if you again, I will try it here. This is for caution. Some w This is for X. This is for why this is for third and last Just work off constants. Now, if you consider the year the final final rule, that is the last year caution of the blue zero, but enough x zero questioned by zero and a question of there is only one. So there is equal to a constant here. This question here is this in this race zero So this is zero. So it forced to literally of that is coming out to be zero. So this is our first well, you know, consider the little the second row Here we have coefficient of the blues are really zero. So it will be zero commission off excess. I want to caution toe off X is one This will be X coefficient of y is minus two. So this will remind us to why cautioned off their disorderly zero and constant is already zero so is equal to zero from this vigor, The value off X in terms off way Xs equals due to why so I will write it properly accessible. Go to where this is our second value as we have already discussed that they were going to get dependent solutions. Well, not getting any unique values. So we will find out the values in terms off. Why? So we get that lives there does zero We get the value off access to away now coming to the final final. No, that is the first. True. We have not considered for story. So the coefficient of from W is here one. So it will be the blue cautioned off x zero. So zero question Why is my 00.5 plus 5.5 way plus 5.5? Why the last question of the day zero and final constant is already zero. So from this *** develop the blue in terms off by the blue is equal to minus five point fight. Why, this is our what does This is our target value. This is our third and final. Very right. So we have our final dependent solutions that year and a blue X y Z This is coming out to be equal to the movie. In color too calculated the value of the blue as minus 5.5 Way. So right here minus 5.5. Why the willy off X ray of Galvin. Arrest away. So two way go. The value of why is why itself and the value off there is coming out with zero. You have already calculating the value off their that zero. So this is our solution said in terms Self. Why so? But you have assumed why as a perimeter. So this is our dependent Solutions said, depending on the value of way. So hope you understood the video and thanks for watching.