Question

what condition must a and b satisfy for matrix [a+b b-a
a-b b+a] to be orthogonal?

Answer 1

is this a 2x2 matrix or a 4x1 vector?

Answer 2

if it is a 2x2 matrix, in order to be orthogonal you have to satisfy several conditions. The row and column vectors of the matrix must be unit vectors (length is 1 and preserves angles)

Answer 3

sir it is 2x 2 matrix how should i answer this question , i came with condition that it must satisfy a^2+b^2=0 condition

Answer 4

Ok, an orthogonal matrix must satisfy those conditions above. The determinant must also equal 1 (This is where the initial condition will come in). Let me know how it goes

Answer 5

thanks sir i got answer

Answer 6

Good job!