Answer:
3x-4
Step-by-step explanation:
Step-by-step explanation:
The answer is OPTION C
Find the Inverse of a 3x3 Matrix.
First
Find the Determinant of A(The coefficients of e
Proceed towards finding the CO FACTOR of the 3x3 Matrix.
+. - +
A= [ 1 -1 -1 ]
[ -1 2 3 ]
[ 1 1 4 ]
The determinant of this is 1.
Find the co factor
| 2 3 | |-1 3 | |-1 2 |
| 1. 4. | |1 4 | |1. 1 |
|-1. -1 | |1 -1 | |1 -1
| 1. 4 | |1. 4| |1 1|
|-1. -1 | |1 -1 | |1. -1
|2. 3| |-1. 3| |-1 2|
After Evaluating The Determinant of each 2x 2 Matrix
You'll have
[ 5 7 -3]
[3 5 -2 ]
[-1 -2 1]
Reflect this along the diagonal( Keep 5,5 -2)
Then switching positions of other value
No need of Multiplying by the determinant because its value is 1 from calculation.
After this
Our Inverse Matrix Would be
[ 5 3 -1 ]
[7 5 -2 ]
[ -3 -2 1]
THIS IS OUR INVERSE.
SO
OPTION C
Answer:
C D F
Step-by-step explanation:
Taking -40/2, we know our answer must be -20.
Testing each answer choice proves this.
A= 40*1/2, which is equal to 40/2, which is 20.
B= -40*-1/2, again, equaling 20.
C= 40/-2. Since one of our terms is negative, this one is -20.
D= 40*-1/2, again, -20.
E= -1/40*2. This would equal -2/40, using fraction multiplication.
F= -40*1/2, Which is the exact same thing the original question asks.
Thus, our final answer is C, D, and F.
Answer:
6700.80
Step-by-step explanation:
4800*.099= 475.20
475.20*4=1900.80
1900.80+4800=6700.80
Answer:
a₂ = - 28.5
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 45 and given a₃ = - 12 , then
a₁ + 2d = - 12 , that is
- 45 + 2d = - 12 ( add 45 to both sides )
2d = 33 ( divide both sides by 2 )
d = 16.5
Then
a₂ = a₁ + d = - 45 + 16.5 = - 28.5