What is the Inverse Matrix for A?

In summary, to find the inverse of matrix A, one can set up the inverse matrix as having four unknown numbers and use the fact that a matrix times its inverse is equal to the identity matrix. This will result in a system of equations that can be solved to find the unknown numbers and thus the inverse matrix.
  • #1
LaraCroft
14
0

Homework Statement



If A =

[ -4e^4t sin(9t) -4e^5t cos (9t) ]
[ 4e^4t cos (9t) -4te^5t sin (9t) ]

then A^-1 =

[ ___ ___ ]
[ ___ ___ ]

Homework Equations



how do you deal with the exponents?

The Attempt at a Solution


Put into RREF, and then see what the inverse is?
 
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  • #2
Well, you know that a matrix times its inverse gives the identity matrix. Set up the inverse matrix as having four unknown numbers in it (a,b,c,d for instance) and plug it into the equation I just mentioned. This will give you some equations to solve to find the parts of the inverse matrix.
 

1. What is a geometric matrix problem?

A geometric matrix problem is a mathematical problem that involves manipulating and solving for variables within a matrix using geometric operations such as rotation, scaling, or translation.

2. What are some examples of geometric matrix problems?

Some examples of geometric matrix problems include finding the inverse of a matrix, solving systems of linear equations, and calculating the area or volume of geometric shapes using matrices.

3. What are the applications of solving geometric matrix problems?

Geometric matrix problems have many applications in fields such as computer graphics, computer vision, engineering, and physics. They are used to model and solve real-world problems involving geometric transformations and calculations.

4. What skills are necessary to solve geometric matrix problems?

To solve geometric matrix problems, one must have a strong understanding of linear algebra, geometry, and matrix operations. Proficiency in mathematical software such as MATLAB or Mathematica is also helpful.

5. Can geometric matrix problems be solved by hand?

Yes, some simple geometric matrix problems can be solved by hand using basic algebraic and geometric principles. However, more complex problems often require the use of specialized mathematical software or programming languages.

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