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JEE Previous Year Question

$The inverse of the matrix 135032 00 - 1 is$

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.

A $- \frac{1}{3} - 3 39 012 00 - 3$
B $- \frac{1}{3} - 3 3 - 9 0 - 1 - 2 003$
C $- \frac{1}{3} 33 - 9 0 - 1 - 2 003$
D $- \frac{1}{3} - 3 - 3 - 9 0 - 1 - 2 003$

Correct answer: B

Solution

(b) : Let A = (10033052 - 1) ∴ | A | = (10033052 - 1) = 1 (- 3 - 0) = - 3 \neq = 0 Thus A is invertible. A^{- 1} = \frac{1}{| A |} adj A = - \frac{1}{3} (- 3003 - 10 - 9 - 23)

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