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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

Choose the correct answer.

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)]`

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Solution

Answer: A

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APPEARS IN

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