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Solution - Let a =[(3,7),(2,5)] and B = [(6,8),(7,9)]. Verify that (Ab)^(-1) = B^(-1)A^(-1) - CBSE (Arts) Class 12 - Mathematics

ConceptAdjoint and Inverse of a Matrix

Question

Let `A =[(3,7),(2,5)] and B = [(6,8),(7,9)]`. Verify that `(AB)^(-1) = B^(-1)A^(-1)`

Solution

From (1) and (2), we have:

(AB)−1 = B−1A−1

Hence, the given result is proved.

Is there an error in this question or solution?

APPEARS IN

 NCERT Mathematics Textbook for Class 12 Part 1 (with solutions)
Chapter 4: Determinants
Q: 12 | Page no. 132

Reference Material

Solution for question: Let a =[(3,7),(2,5)] and B = [(6,8),(7,9)]. Verify that (Ab)^(-1) = B^(-1)A^(-1) concept: null - Adjoint and Inverse of a Matrix. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)
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