Home
Class 12
MATHS
If A and B are square matrices of the...

If `A` and `B` are square matrices of the same order, explain, why in general `(A+B)^2!=A^2+2A B+B^2` (ii) `(A-B)^2!=A^2-2A B+B^2` (iii) `(A+B)(A-B)!=A^2-B^2` .

Promotional Banner

Similar Questions

Explore conceptually related problems

If A and B are square matrices of the same order,explain,why in general (A+B)^(2)!=A^(2)+2AB+B^(2)( ii) (A-B)^(2)!=A^(2)-2AB+B^(2)( iii) (A+B)(A-B)!=A^(2)-B^(2)

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?

If A and B are two square matrices of the same order, then (A-B)^(2) is equal to -

If A and B are square matrices of order 2, then (A+B)^(2)=

If A and B are square matrices of the same order such that A B=B A , then show that (A+B)^2=A^2+2A B+B^2

If A and B are square matrices of the same order such that A B=B A , then show that (A+B)^2=a^2+2A B+B^2

If A and B are square matrices of the same order such that A B=B A , then show that (A+B)^2=A^2+2A B+B^2 .

If A and B be square matrices of the same order such that AB=BA, prove that : (A-B)^2 = A^2 - 2AB + B^2