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Let A be an mxxn matrix. If there exists...

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. Which of the following matrices is NOT left inverse of matrix `[(1,-1),(1,1),(2,3)]?`

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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 ?

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 inverse of the matrix A= [(3,1),(4,2)]

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

Find the inverse of the matrix |[2,-1], [3, 4]| .

The inverse of the matrix {:[(1,3),(3,10)]:} is equal to

The number of right inverse of the matrix is [(1,-1, 2),( 2,-1, 1)]

Obtain the inverse of the following matrix, using elementary operations: A=[(3,0,-1),(2,3,0),(0,4,1)]

Obtain the inverse of the following matrix, using elementary operations: A=[(3,0,-1),(2,3,0),(0,4,1)]

Choose the correct answer from the following : The inverse of matrix |{:(1,3),(2,-1):}|is:

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