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XCi 0Predict Inc product ol the folloning sequcncec etlon'SOClz (CH_CHzhCuliOHOHOHOH...

Question

XCi 0Predict Inc product ol the folloning sequcncec etlon'SOClz (CH_CHzhCuliOHOHOHOH

XCi 0 Predict Inc product ol the folloning sequcncec etlon' SOClz (CH_CHzhCuli OH OH OH OH



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$$\left|\begin{array}{ccccr} -2 & 0 & 0 & 0 & 0 \\ 0 & 3 & 0 & 0 & 0 \\ 0 & 0 & -1 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & -4 \end{array}\right|$$

In this question we have to use row reduction to find the inverse is of the given metrics if they exist now representing even metrics by eight. Hey what's two 0001 0010 01. You know you know 10 you know No we can like this metric says On the left side 0001 0010 0100 10 00. And on the right side. Identity Matrix of Order for my 4th 1000 0100 00. Ban zero 0001. Mhm. No they will already use legal metrics. We will interchange First and 4th row And 2nd and her role. So our metrics becomes 10 you know you know 0100 video video 10 000 one. And what did I say? Digital video you know one deal 010 01. You know you know 10. It'll heal. Does we have a matrix? This is a lot worse metrics. This is equal to 0001 001. You know 0100 1000. Now we will check the result. So he will multiply and invest metrics that becomes multiplied by N. But in most metrics so we can so we will write the metrics you know hell the little one 001 metal 0100 1000. And on the right side. Oh we will multiply it by Multiplied by Matrix 0001 001 00 10 deal. One 00 10 little little. No the money to play these two matrix. So we can drive the desk questions multiplied twice bro of these metrics by first column of these metrics. So we get zero times zero plus you know time zero place, you know times zero Plus one times 1. Only simplifying it. They get value one Similarly. Now we will write this element in the desired metrics. One was second argument. Similarly we will multiply first of all Bike. 2nd Polar. So we can deputize zero, multiplied by zero plus zero, multiplied by zero Plus zero, multiplied by one Plus one multiplied by zero. or simply find it bigger deal. So the diet, the element here similarly follow this pattern and a deep desire Medics of 10 hero, zero 01 00 00 10 little little 01. Uh huh. We can say that a invest metrics is equal to identity metrics. Thank you

Come in three by three. Identity matrix 100010001 And Matrix A being all zeros. Okay. Um, we were to predict what is the identity matrix times A. You would expect it to be a likewise for the other direction because the identity is itself, let's verify it. Row one, column one of the zero times zero times zero go one county will be all zero, throw one com three all zeros. When you multiply zero by anything zero. So these are just all going to be zeroes. The other direction, same thing. Row one column would just be zero times 0000 grow on. Column 2000 so on and so forth. And these are each matrix A no

For this problem. We have been given a matrix multiplication problem with three diagonal matrices, and we're supposed to compute the product by inspection. Well, diagonal matrix matrices air nice. When I'm multiplying two diagonal matrices together, all I have to do is multiply the corresponding elements, so I would multiply one by two. That would be my first row. First column, uh, result. I'd multiply the second diagonals together and the third diagonals together because of all the rest of the zeros. Every other product, when we do our row and column multiplication just ends up being zero for three diagonals. I'm going to multiply all across. So the first row first column numbers all the way across. Second row second column numbers will get multiplied and the third row third column numbers will get multiplied. But if you notice when I do this, if I multiply those red numbers together, I have a zero in my third Matrix in that spot so that diagnose going to be zero one. Multiply the green numbers. There's a zero in the first Matrix in that spot, so that's zero. Likewise, the blue I've got a zero in the second Matrix and it is a diagonal matrix, so everything else is zeros as well. So multiplying these three matrices together gives me a matrix that comprised entirely of zeros.

In this question, we have to use technology to find the inverse of the given metrics. There is our metrics. No, we will use matrix algebra tool in order to find the inverse of these metrics. So here is a tool. This is our tool. Now we will enter the given metrics. A hell. We have entered the Cuban metrics. Now we will and the formula Hair, which is in bus. Now we will enter on compute and this is a inverse metrics. So invest matrixes, right 91.35 -8.65 zero -71.3 -0.07 -0.07, Deal 2.49 2.6 2.6 -4.35 1.37 2.69 2.69 zero -2.1. Thank you.


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