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Grade 12Algebra

Q,4 matrices see image...................................................

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Profile image of Harsh vijay
7 Years agoGrade 12
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1 Answer

Profile image of Aditya Gupta
ApprovedApproved Tutor Answer7 Years ago
write it as AB – B= 0
or (A – I)B= 0
let A – I= C
CB=0
this is of the form AX= 0 which always has the trivial solution X= 0. however, we are given that B is not equal to zero matrix.
for that to be true, det(C)= 0
or det(A – I)= 0
or (a – 1)(d – 1) – bc= 0
or 1 – a – d+ad= bc
or 1+ad= bc + (a+d)= bc + 5050
or ad – bc= 5049
kindly approve :)