If A=[alphabetagamma-alpha] is such that...

If `A=[alphabetagamma-alpha]` is such that `A^2=I` , then `1+alpha^2+betagamma=0` (b) `1-alpha^2+betagamma=0` (c) `1-alpha^2-betagamma=0` (d) `1+alpha^2-betagamma=0`

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If A=[{:(alpha,beta),(gamma,alpha):}] is such that A^2=I , then 1+alpha^2+betagamma=0 (b) 1-alpha^2+betagamma=0 (c) 1-alpha^2-betagamma=0 (d) 1+alpha^2-betagamma=0

If A=[[alpha,beta],[gamma,alpha]] is such that A^2=I , then (A) 1+alpha^2+betagamma=0 (B) 1-alpha^2+betagamma=0 (C) 1-alpha^2-betagamma=0 (D) 1+alpha^2-betagamma=0

If [alphabetagamma-alpha] is to be square root of two-rowed unit matrix, then alpha,betaa n dgamma should satisfy the relation. 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 are the roots of p x^3+q x^2+r=0, then the value of the determinant |(alphabeta,betagamma,gammaalpha),(betagamma,gammaalpha,alphabeta),(gammaalpha,alphabeta,betagamma)| is p b. q c. 0 d. r

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