Let A and B be two square matrices of order 2. If …, … and … for some a, b, c, … N, then a + b + c is equal to :

Matrices and Determinants

JEE Main 2022 · 30 Jun, Morning shift · Q4533

MathematicsHard244×since 2002Q4533

Let A and B be two square matrices of order 2. If

det\,(A) = 2

det\,(B) = 3

and

\det \left( {(\det \,5(det\,A)B){A^2}} \right) = {2^a}{3^b}{5^c}

for some a, b, c,

\in

N, then a + b + c is equal to :

JEE Main 2022 · 30 Jun, Morning shift · Q4533

MathematicsHard244×since 2002Q4533

Let A and B be two square matrices of order 2. If

det\,(A) = 2

det\,(B) = 3

and

\det \left( {(\det \,5(det\,A)B){A^2}} \right) = {2^a}{3^b}{5^c}

for some a, b, c,

\in

N, then a + b + c is equal to :