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 |
Step-by-step explanation:
Simplify the following expression then state the property used:
9^-2
Property:
Given,
9^-2
For any real numbers a and b a, b ≠ 0, and for any two positive integers, n and n
a^-m
=> 1/a^m [By doing reciprocal]
So,
9^-2
=> 1/9^2
=> 1/(3^2)^2
=> 1/(3^4)
=> 1/(3*3*3*3)
=> 1/81. Ans.
Hope this helps.
There are 4 terms in the expression.
1 L = 1000ml
600/1000
= 6/10
= 3/5
