Trouble with Inverse Matrices - Can You Help?

In summary, the conversation discusses using inverse matrices and multiplication with the identity matrix in order to solve a problem with a large matrix. The speaker also mentions the importance of using row operations and mentions a potential goal of finding the norm of certain columns.
  • #1
Geminiben
1
0

Homework Statement


21lpjs3.jpg


Homework Equations


I think it may have to do with inverse matrices or multiplication using the identity matrix

The Attempt at a Solution



I got the inverse of...

1,-2, 2, 2,-3
3,-5, 6, 2,-4
2,-2, 5,-4, 4
1,-3, 1, 7,-8
3,-4, 7, 0, 2

as...

-6,-14,25,20,-7
2,-13,19,14,-5
4, -2, 1, 0, 0
0, -1, 1, 1, 0
-1, 2 ,-3,-2, 1

and I premultiplied that to...

87, 57, 10,117,-101
208,232,133,330,-146
83,297,235,229, 116
154,-58,-97,112,-245
240,382,278,370, 092

But nothing really seems to make sense. Thanks if you can help!
 
Physics news on Phys.org
  • #2
It looks to me like it's one big giant matrix and you'd have to do the row operations to get the first 5 columns in the identity format and see what that does to the last 5 columns.
Are you looking for the norm of columns 6-10? The question isn't entirely clear to me.
 
Last edited:
  • #3
Yes, you have to do raw, direct calculations. But the semi-identity matrix will make it easier
 

FAQ: Trouble with Inverse Matrices - Can You Help?

What is an inverse matrix?

An inverse matrix is the reciprocal of a matrix. It is a mathematical operation that involves finding a matrix that when multiplied by the original matrix results in an identity matrix. The inverse matrix is used to solve equations and perform other mathematical operations.

Why is finding the inverse matrix important?

Finding the inverse matrix is important because it allows us to solve equations that involve matrices. It is also used in various mathematical operations such as matrix division and finding the determinant of a matrix.

How do you find the inverse matrix?

To find the inverse matrix, you can use the Gauss-Jordan elimination method or the adjugate method. In the Gauss-Jordan method, you perform row operations on the original matrix until it becomes an identity matrix. In the adjugate method, you use the adjugate matrix and the determinant of the original matrix to find the inverse.

Can every matrix have an inverse?

No, not every matrix can have an inverse. A matrix must be square (number of rows and columns are equal) and non-singular (determinant is not equal to 0) to have an inverse.

What are some common errors when finding the inverse matrix?

Some common errors when finding the inverse matrix include forgetting to switch the position of the original matrix and the identity matrix when using the Gauss-Jordan method, miscalculating the determinant or adjugate matrix, and not properly simplifying the final inverse matrix.

Similar threads

No integer whose digits add up to ## 15 ## can be a square or a cube
Replies
4
Views
3K
Show that ## a^{2}-a+7 ## ends in one of the digits ## 3, 7 ,9##
Replies
6
Views
2K
Obtain the two incongruent solutions modulo 210 of the system
Replies
7
Views
2K
Any one of the integers ## 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ## can occur?
Replies
3
Views
1K
For any integer ## a ##, the units digit of ## a^{2} ## is?
Replies
7
Views
1K
Can this be solved without trial and error?
Replies
6
Views
1K
Factor the repunit ## R_{6}=111111 ## into a product of primes
Replies
3
Views
1K
Determine all the solutions of the system
Replies
19
Views
1K
Prove that ## 7, 11 ##, and ## 13 ## all divide ## N ##
Replies
6
Views
1K
Combinations with identical and unidentical objects
Replies
16
Views
1K

Hot Threads

Recent Insights

Back
Top