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Q39 of 98 Page 314

If A = and B is a square matrix of order 2 such that AB=I then B=?

B=I

B = A^-1 I ---------1

A^-1= adj A --------- 2

= 3 x 2 – (-4) x (-1)

2

C₁₁ = 2 C₁₂ = 1

C₂₁= 4 C₂₂ = 3

Cofactor matrix A =

Adj A =’

=

Putting in 2

A^-1=

=

Putting in 1

B = A^-1 I

= A^-1

=

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If matrices A and B anticommute then

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If A and B are invertible square matrices of the same order then (AB)^-1=?

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If A=, then A^-1=?