Question

For a square matrix A and a non singular matrix B of the same other the value of det (B inverse AB)​

Answer 1

Answer:

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Answer 2

Question :

For a square matrix A and a non singular matrix B of the same other the value of $\sf |B^{ - 1} AB|$ ?

EASY METHOD :

Used formula,

$\qquad \bf |AB| = |A| \: |B|$

Now,

$\qquad \sf = \: |B^{ - 1} AB|$

$\qquad \sf = \: \cancel{ |B^{ - 1}|} \: |A| \: \cancel{|B|}$

$\qquad \bf = \: |A|$

$\:$