If A=((1,-1),(2,-1)), B= ((a,1),(b,-1)) ...

If `A=((1,-1),(2,-1)), B= ((a,1),(b,-1))` and `(A+B)^(2)=A^(2)+B^(2)` then the values of a and b are ................... .

A

`a=4, b=1`

B

`a=1, b=4`

C

`a=0, b=4`

D

`a=2, b=4`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If A= [(1,-1),(2,-1)] and B = [(a,1),(b,-1)] and(A+B)^(2)=A^(2)+B^(2) , then the values of a and b are

If A=[(1,-1),(2,1)], B=[(a,1),(b,-1)] and (A+B)^(2)=A^(2)+B^(2)+2AB , then

If A=(2x+1)/(2x-1), B=(2x-1)/(2x+1) find (1)/(A-B)-(2B)/(A^(2)-B^(2))

If A=((1,2,1),(2,-1,1)) and B=((2,-1),(-1,4),(0,2)) show that (AB)^(T)=B^(T)A^(T)

If A= [(3,-1,0),(2,1,5)] ,B= [(2,2,1),(3,0,-2)] .Find A+B,2A-B

If A(-2, -1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, find the values of a and b.

If (1 -2x)/(3 + 2x - x^(2)) = (A)/(3 -x ) + (B)/(x + 1) ,then the value of A + B is

If A'=[(-2,3),(1,2)] and B=[(-1,0),(1,2)] then find (A+2B)'