Consider the matrix
Find a left-inverse of C.
I know that you suppose to somehow use gauss reduction, and thought about gauss reducing:
but didnt get any luck
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Only square matrices have inverses.
To solve a matrix equation of the form for where is not square, you need to premultiply both sides by first. .
Now is a square matrix, so you can premultiply both sides by . .
Originally Posted by Prove It Only square matrices have inverses. Why is this so? In my notes it says that a matrix that is not square can have left-inverses or right-inverses, but it can't have both.
You have 6 variables and 4 equations.
This system has very many solutions.
To limit number of solutions two variables may be given some values.
Let z1=0 and z2=0
then your matrix is
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