How do you solve a matrix equation in Mathematica?

Questions
,
1

I cannot find how to solve a matrix equation in Mathematica.

Below is a matrix equation:
{{3,4},{4,5}}A=={{5,6},{7,4}}
Here are two matrices and I would like to solve for A, how would I do it in Mathematica?

By hand you multiply each side by the inverse.

Thanks!!!

2 
In[6]:= A = Array[a, {2, 2}];

In[7]:= A /. Solve[{{3, 4}, {4, 5}}.A == {{5, 6}, {7, 4}}]

Out[7]= {{{3, -14}, {-1, 12}}}
3

Thanks :slight_smile:

4 
In[1]:= LinearSolve[{{3, 4}, {4, 5}}, {{5, 6}, {7, 4}}]

Out[1]= {{3, -14}, {-1, 12}}

is probably a better way to do it.

5

By hand you multiply each side by the inverse.

that you can do too

In[82]:= A = Inverse[{{3, 4}, {4, 5}}].{{5, 6}, {7, 4}}

Out[82]= {{3, -14}, {-1, 12}}

to refind the former result.