# Choose the Correct Answer. If X, Y, Z Are Nonzero Real Numbers, Then the Inverse of Matrix a = [(X,0,0),(0,Y,0),(0,0,Z)] is - Mathematics

If xyz are nonzero 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)]

#### Solution

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 4 Determinants
Q 18 | Page 143