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.
X -> her money;
( 1 / 4 )*x = x / 4 for a pair of shoes;
( 1 / 5 )*x = x / 5 for a shoulder bag;
x - x / 4 -x / 5 = 20x / 20x - 5x / 20x - 4x / 20x = 11x / 20 the remainder;
11x / 20 - ( 3 / 8 )*x = 11x / 20 - 3x / 8 = 22x / 40 - 15x / 40 = 7x / 40 for her dress;
She pay 7 / 40 of her money for the dress.
A=Lw
The area is 12*34, 408 sq ft.
All the numbers are multiplied by 2 or doubled.
So the missing number after 2 is 4.
After 16 is 32.
Answer: the root of 145 so b
Step-by-step explanation:
