If `{:[(alpha,beta),(gamma,-alpha)]:}` is to be the square root of two-rowed unit matrix, then `alpha,beta and gamma` should satisfy the relation

If [(alpha,beta),(gamma,-alpha)] is to be square root of the two rowed unit matrix , then alpha , beta and gamma should satisfy the relation :

If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed unit matrix, then alpha,beta and gamma should satisfy the relation. a. 1-alpha^2+betagamma=0 b. alpha^2+betagamma=0 c. 1+alpha^2+betagamma=0 d. 1-alpha^2-betagamma=0

If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed unit matrix, then alpha,beta and gamma should satisfy the relation. a. 1-alpha^2+betagamma=0 b. alpha^2+betagamma=0 c. 1+alpha^2+betagamma=0 d. 1-alpha^2-betagamma=0

If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed unit matrix, then alpha,beta and gamma should satisfy the relation. a. 1-alpha^2+betagamma=0 b. alpha^2+betagamma=0 c. 1+alpha^2+betagamma=0 d. 1-alpha^2-betagamma=0

If [[alpha,betagamma,-alpha]] is to be square root of two-rowed unit matrix,then alpha,beta and gamma should satisfy the relation.1-alpha^(2)+beta gamma=0 b.alpha^(2)+beta gamma=0 c.1+alpha^(2)+beta gamma=0 d.1-alpha^(2)-beta gamma=0

If the square of the matrix [(alpha,beta),(gamma,-alpha)] is the unit matrix of order 2, then alpha, beta and gamma should satisfy the relation.