Answer:
[-0.25 1.25]
[ ]
[-0.75 2.75]
If not satisfied than..
You can write it in other way as show in step by step
Step-by-step explanation:
Step 1:
First of all find the determinate.
Cross multiply the number 11 ✖ -1
- detA = 11 × -1
= -11 ---eq1
And now cross multiply the number 3 ✖ - 5
- detA = 3 × -5
= -15 ---eq2
Now we use eq 1 and 2
detA = (-11)-(-15)
Minus cancels minus
So it becomes
detA = -11 + 15
= 4
Step 2:
We find adjacent of the given.
[11 -5]
adjA= [ ]
[3 -1 ]
We change the places. The number 11 goes to in place of -1. -1 goes in place of 11.
And we change the signs of -5 and 3. -5 becomes 5 and 3 becomes -3.
We get
[-1 5]
adjA = [ ]
[-3 11]
Step 3:
Now we use the following formula
1
A^-1 = -------- adjA
detA
1 [-1 5]
A^-1 = ------- [ ]
4 [-3 11]
And now multiply
1
---- with each number of adjA.
4
And than subtract..
And you will get the inverse matrix
If the answer comes same than that's the answer for inverse matrix
Thank you.
