Let t be the trace of matrix A`[[(|x+y|)/(|x| +|y|),alpha_1,beta_1],[alpha_2,(|y+z|)/(|y| +|z|),beta_2], [alpha_3,|x+z|)/(|x| +|z|),beta_3)]]` then

Let t be the trace of matrix A {:[((|x+y|)/(|x| +|y|),alpha_1,beta_1),(alpha_2,(|y+z|)/(|y| +|z|),beta_2), (alpha_3,beta_3,((|z+x|)/(|z| +|x|]) ] then

Let alpha and beta be the roots of the equation x^(2)+x+1=0. Then for y ne 0 in R, |(y+1,alpha,beta),(alpha,y+beta,1),(beta,1,y+alpha)| is equal to :

Show that the solution of the equation [(x, y),(z, t)]^(2)=O is [(x,y),(z,t)]=[(pm sqrt(alpha beta),-beta),(alpha,pm sqrt(alpha beta))] where alpha, beta are arbitrary.

Show that the solution of the equation [(x, y),(z, t)]^(2)=O is [(x,y),(z,t)]=[(pm sqrt(alpha beta),-beta),(alpha,pm sqrt(alpha beta))] where alpha, beta are arbitrary.

Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0 . Then, for y ne 0 in R. |{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}| is

If x/(tan (theta + alpha)) = y/(tan (theta + beta)) = z/tan(theta + gamma), "prove that" (x+y)/(x-y)sin^(2) (alpha - beta) + (y + z)/(y - z) sin^(2) (beta - gamma) + (z + x)/(z-x) sin^(2) (gamma - alpha ) = 0

Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(z,t)]=[(+-sqrt(alphabeta),-beta),(alpha,+-sqrt(alphabeta))] , where alpha,beta are arbitrary.

Show that the solutions of the equation [(x,y),(z,t)]^2=0 are[(x,y),(z,t)]=[(+-sqrt(alphabeta),-beta),(alpha,+-sqrt(alphabeta))] , where alpha,beta are arbitrary.

Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0 . Then, for y ne 0 in R. [{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}] is