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]` .

[{:(1,3),(2,7):}] find the inverse of matrix

[{:(3,10),(2,7):}] find the inverse of matrix

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

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

Using elementary transformations, find the inverse of the matrix [1 3 2 7]

Using elementary transformations, find the inverse of the matrix [1 3 2 7]

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

Find the matrix X satisfying the matrix equation: X[[5, 3],[-1,-2]]=[[14, 7],[ 7, 7]] .

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. For which of the following matrices, the number of left inverses is greater than the number of right inverses ?

Solve system of linear equations, using matrix method, 2x + 3y +3z = 5 x-2 y + z =-4 , 3x-y - 2z= 3