Answer:
130
Step-by-step explanation:
You want the determinant of the matrix ...
![\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%262%5C%5C-3%261%265%5C%5C-1%26-4%263%5Cend%7Barray%7D%5Cright%5D)
One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:
D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)
= 12 -15 +24 +2 +80 +27
D = 130
The determinant of the coefficient matrix is 130.
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Many scientific and graphing calculators and web sites can perform this calculation for you.
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you got it
<span>except keep going to get </span>
<span>x = ±√3025 </span>
<span>x = ± 55 </span>
<span>check: </span>
<span>275 , 55, 11 </span>
<span>is 55/275 = 11/55 ? YES </span>
<span>is -55/275 = 11/=55 ? YES</span>
7/9. 1/9 plus 2/3. You have to get the lest common denominator, so change 3 to 9 by multiplying it by three. Remember, you have to do the same thing you do to the denominator to the numerator. So, 2/3 would be 6/9. 6/9 plus 1/9 is easy, basic facts. 1 and 6 is 7, and you put the nine under. You get 7/9
