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Find the adjoint of the matrices. [1234] - Mathematics

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Question

Find the adjoint of the matrices.

`[(1,2),(3,4)]`

Sum

Solution

Here A `= [(1,2),(3,4)]` then

adj A = `[(A_11, A_12),(A_21, A_22)]^T`

`= [(4,-3),(-2,1)]^T   ...[(A_11 = 4, A_12 = - 3),(A_21 = - 2, A_22 = 1)]` 

`= [(4,-2),(-3,1)]`

Hence, adjoint matrix of `[(1,2),(3,4)]` = `[(4,-2),(-3,1)]`

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Chapter 4: Determinants - Exercise 4.5 [Page 131]

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NCERT Mathematics [English] Class 12
Chapter 4 Determinants
Exercise 4.5 | Q 1 | Page 131

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