SOLUTION: Find the inverse of each matrix if it exists:
(Top row) [3 7] (bottom row) [1 -4]
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Question 1129205: Find the inverse of each matrix if it exists:
(Top row) [3 7] (bottom row) [1 -4]
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Your matrix
first make sure determinant is zero
Δ =
Δ =
Δ =
so, determinant is zero, therefore matrix
Write the augmented matrix:
Find the pivot in the 1st column and swap the 2nd and the 1st rows:
Eliminate the 1st column:
Make the pivot in the 2nd column by dividing the 2nd row by 19:
Eliminate the 2nd column:
There is the inverse matrix on the right:
Eliminate the 2nd column:
Result:
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