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If x ,\ y ,\ z are non-zero real numbe...

If `x ,\ y ,\ z` are non-zero real numbers, then the inverse of the matrix `A=[[x,0, 0],[ 0,y,0],[ 0, 0,z]]` , is (a)`[[x^(-1),0 ,0 ],[0,y^(-1),0],[ 0, 0,z^(-1)]]` (b) `x y z[[x^(-1),0 ,0],[ 0,y^(-1),0],[ 0, 0,z^(-1)]]` (c) `1/(x y z)[[x,0, 0],[ 0,y,0],[ 0, 0,z]]` (d) `1/(x y z)[[1, 0, 0],[ 0 ,1, 0],[ 0, 0, 1]]`

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If x, y, z are non-zero real numbers, then the inverse of matrix A=[(x,0, 0) ,(0,y,0),( 0, 0,z)] is (A) [[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (B) xyz[[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (C) (1)/(xyz)[[x,0,0],[0,y,0],[0,0,z]] (D) (1)/(xyz)[[1,0,0],[0,1,0],[0,0,1]]

If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find x ,\ y\ a n d\ z .

If P=[(x,0, 0),( 0,y,0 ),(0, 0,z)] and Q=[(a,0 ,0 ),(0,b,0 ),(0, 0,c)] , prove that P Q=[(x a,0 ,0 ),(0,y b,0),( 0 ,0,z c)]=Q P

If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , find x ,\ y\ a n d\ z .

If [(1 ,0, 0) ,(0 ,1, 0),( 0 ,0 ,1)][(x),( y),( z)]=[(1),(-1),( 0)] , find x ,\ y\ a n d\ z .

The transformation due of reflection of (x,y) through the origin is described by the matrix (A) [(0,0),(0,0)] (B) [(1,0),(0,1)] (C) [(1,0),(0,-1)] (D) [(0,-1),(-1,0)]

If [(1,0,0),(0, 0, 1),(0,1,0)][(x),(y),(z)]=[(2),(-1),(3)] , find x ,\ y ,\ z .

Without expanding prove that: |[x+y, y+z, z+x],[z ,x, y],[1, 1 ,1]|=0 .

The number of solutions of equations x + y - z=0, 3x - y - z= 0,x - 3y + z = 0 is

The matrix of the transformation reflection in the line x+y=0 is (A) [(-1,0),(0,-1)] (B) [(1,0),(0,-1)] (C) [(0,1),(1,0)] (D) [(0,-1),(-1,0)]

RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
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  20. If x ,\ y ,\ z are non-zero real numbers, then the inverse of the ma...

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