Grade 12Algebra
If A and B are squares matrices such that A^2006=0 and AB=A+B,then find det(B).
If A and B are squares matrices such that A^2006=0 and AB=A+B,then find det(B).
1 Answer
mycroft holmes
We have det A = 0. Also from A+B = AB we have B = AB-A = AB – AI = A(B-I)
so det B = det A det(B-I) = 0
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago