SOLUTION: B= 1 2 3 2 5 3 1 0 8 Find the inverse of Matrix B. Answer: Det(M)= 40-26-15 = -1 M11= 40 M21= 13 M31=-5 M12=16 M22=5 M32=-2 M13=-9 M23=-3 M33=1

Question 950149: B=
1 2 3
2 5 3
1 0 8
Find the inverse of Matrix B.
Answer:
Det(M)=
40-26-15
= -1

M11= 40
M21= 13
M31=-5
M12=16
M22=5
M32=-2
M13=-9
M23=-3
M33=1
40 16 -9
13 5 -3
-5 -2 1
+ - +
- + -
+ - +
40 -16 -9
-13 5 3
-5 2 1
M^-1=1/-1
Brackets
-40 16 9
13 -5 -3
5 -2 -1
Brackets
Did I do it right? Thanks in advance.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

yes, you did it right

inverse

Solved by pluggable solver: Finding the Determinant of a 3x3 Matrix

If you have the general 3x3 matrix:

the determinant is:

Which further breaks down to:

Note: , and are determinants themselves.
If you need help finding the determinant of 2x2 matrices (which is required to find the determinant of 3x3 matrices), check out this solver

--------------------------------------------------------------

From the matrix , we can see that , , , , , , , , and

Start with the general 3x3 determinant.

Plug in the given values (see above)

Multiply

Subtract

Multiply

Combine like terms.

======================================================================

Answer:

So , which means that the determinant of the matrix is -1

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