Operations that can be applied to a matrix in the process of Gauss Jordan elimination are :
replacing the row with twice that row
replacing a row with the sum of that row and another row
swapping rows
Step-by-step explanation:
Gauss-Jordan Elimination is a matrix based way used to solve linear equations or to find inverse of a matrix.
The elimentary row(or column) operations that can be used are:
1. Swap any two rows(or colums)
2. Add or subtract scalar multiple of one row(column) to another row(column)
as is done in replacing a row with sum of that row and another row.
3. Multiply any row (or column) entirely by a non zero scalar as is done in replacing the row with twice the row, here scalar used = 2
The value of <em>d</em> is 7.5.
The key to solving equations is doing the inverse, or opposite, function/process.
For example, you subtract when d + 1 = 2:
d + 1 = 2
(d + 1) -1 = (2) - 1
d = 1
In the same way, you add values when you have a negative:
5.5 = -2 + d = d - 2
5.5 = d - 2
(5.5) + 2 = (d - 2) + 2
7.5 = d
Now if instead of adding 2, you subtract 2, the problem becomes:
5.5 = d - 2
(5.5) - 2 = (d - 2) - 2
3.5 = d - 4
This doesn't solve your problem, it just makes the value needed to be canceled out larger.
Thus d = 7.5 and you will add because the value is negative.
To eliminate the fraction, multiply by 2 both sides of the equation. This gives,
2A = h x (b1 + b2)
Then, divide both the left hand and the right hand side of the equation by the variable h.
2A / h = b1 + b2
Next, subtract b1 from both sides,
(2A / h) - b1 = b2
Rearranging the equation,
b2 = (2A/h) - b1
