Without using the concept of inverse of a matrix, find the matrix `[x y z u]` such that `[5-7-2 3][x y z u]=[-16-6 7 2]` .

Without using the concept of inverse of a matrix,find the matrix [xyzu] such that [[5,-7-2,3]][[x,yz,u]]=[[-16,-67,2]]

Find the inverse of the matrix [(3 ,-2 ),(-7 , 5)] .

[{:(2,3),(5,7):}] find the inverse of the matrix

Let A be an mxxn matrix. If there exists a matrix L of type nxxm such that LA=I_(n) , then L is called left inverse of A. Similarly, if there exists a matrix R of type nxxm such that AR=I_(m) , then R is called right inverse of A. For example, to find right inverse of matrix A=[(1,-1),(1,1),(2,3)] , we take R=[(x,y,x),(u,v,w)] and solve AR=I_(3) , i.e., [(1,-1),(1,1),(2,3)][(x,y,z),(u,v,w)]=[(1,0,0),(0,1,0),(0,0,1)] {:(implies,x-u=1,y-v=0,z-w=0),(,x+u=0,y+v=1,z+w=0),(,2x+3u=0,2y+3v=0,2z+3w=1):} As this system of equations is inconsistent, we say there is no right inverse for matrix A. The number of right inverses for the matrix [(1,-1,2),(2,-1,1)] is

Let A be an mxxn matrix. If there exists a matrix L of type nxxm such that LA=I_(n) , then L is called left inverse of A. Similarly, if there exists a matrix R of type nxxm such that AR=I_(m) , then R is called right inverse of A. For example, to find right inverse of matrix A=[(1,-1),(1,1),(2,3)] , we take R=[(x,y,x),(u,v,w)] and solve AR=I_(3) , i.e., [(1,-1),(1,1),(2,3)][(x,y,z),(u,v,w)]=[(1,0,0),(0,1,0),(0,0,1)] {:(implies,x-u=1,y-v=0,z-w=0),(,x+u=0,y+v=1,z+w=0),(,2x+3u=0,2y+3v=0,2z+3w=1):} As this system of equations is inconsistent, we say there is no right inverse for matrix A. Which of the following matrices is NOT left inverse of matrix [(1,-1),(1,1),(2,3)]?

Solve the following equations using inverse of a matrix. x+y=5 , y+z=3 , z+x=4

Find inverse of matrix,solve the equation x-y+z=4,2x+y-3z=0x+y+z=2

Solve the following equations using inverse of a matrix. {:(2x+5y=1),(3x+2y=7):}