The given matrix is
| 1 6 4 |
| 0 1 2 |
| 0 0 1 |
Create the augmented matrix.
| 1 6 4 | 1 0 0 | R1
| 0 1 2 | 0 1 0 | R2
| 0 0 1 | 0 0 1 | R3
R1 -> R1 - 6*R2
| 1 0 -8 | 1 -6 0 | R1
| 0 1 2 | 0 1 0 | R2
| 0 0 1 | 0 0 1 | R3
R1 -> R1 + 8*R3
| 1 0 0 | 1 -6 8 | R1
| 0 1 2 | 0 1 0 | R2
| 0 0 1 | 0 0 1 | R3
R2 -> R2 - 2*R3
| 1 0 0 | 1 -6 8 |
| 0 1 0 | 0 1 -2 |
| 0 0 1 | 0 0 1 |
The inverse is
| 1 -6 8 |
| 0 1 -2 |
| 0 0 1 |
Verification:
| 1 6 4 | | 1 -6 8 | | 1 0 0 |
| 0 1 2 | | 0 1 -2 | = | 0 1 0 |
| 0 0 1 | | 0 0 1 | | 0 0 1 |
Answer:
a ) π/2, 4π/3, 3π/2. 5π/3.
Step-by-step explanation:
2 sin t cos t + √3 cos t = 0
cos t ( 2 sin t + √3 ) = 0
Therefore:
cos t = 0, t 1 = π/2, t 2 = 3 π/2
or:
2 sin t + √3 = 0
2 sin t = - √3
sin t = - √3 / 2
t 3 = 4 π/3, t 4 = 5 π/3
Not sure if this is correct or not but my answer is 48
These were my steps:
2(6+(12divided(3+1)-1
2x6=12. 3+1=4 4-1=3
12divided by 3 =4
So now all we have are 12 from (6x2) and 4 from 12div. By3
Then we multiply 12 with the 4 which =48
Hope that helped and made sense.
Answer:
as the first answerer i did not take this yet but i can tell you the formula
slope of XY = y2 - y1 / x2 - x1