SOLUTION: Please help me solve this equation: What is the inverse of the matrix? [ 10 -3 ] [ 3 -1 ]

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Question 823370: Please help me solve this equation:
What is the inverse of the matrix?
[ 10 -3 ]
[ 3 -1 ]

Answer by erica65404(394) About Me  (Show Source):
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If we look at the following matrix
[a d]
[c b]
To find the inverse, you would first multiply c and d by a -1.
[a -d]
[-c b]
then you would switch a and b's positions
[b -d]
[-c a]
then multiply all the numbers in the matrix by .1
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[10 -3]
[3 -1]
multiply c and d by -1
[10 3]
[-3 -1]
then switch a and b's position
[-1 3]
[-3 10]
now multiply everything by .1
[-.1 .3]
[-.3 1]
This is the inverse