find the values of x,y,z and t when the following matrices are equal :
`{:[(x+y,y-z),(5-t,7+x)]and {:[(t-x,z-t),(z-y,x+z+t)]`

Find the value of x, y, z and t for which the following two matrices may be equal: {:[(x-z,-z-x),(7-t,6+z)]and {:[(3-t,5-t),(t+5,x-y)]:}

Find the value of x, y and z from the following equations: (i) [(4,3),(x,5)]=[(y,z),(1,5)] (ii) [(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)] (iii) [(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]

Find the value of x, y, z and t for which 3{:[(x,y),(z,t)]={:[(x,6),(-1,2t)]+{:[(4,x+y),(z+t,3)]:}

Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,z)] satisfy the equation A'A=I .

Eliminate x,y and z from the following equations: (x)/(y+z)=a,y/(z+x)=b,z/(x+y)=c

Find the value of each of the following polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vi) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

Find the values of x ,\ y,\ z if the matrix A=[(0,2y,z), (x, y,-z ),(x,-y, z)] satisfy the equation A^T\ A=I_3 .

Find the values of x, y and z if {:[(x+y+z),(z+x),(y+z)]={:[(9),(5),(7)]

Find the product of (5x - y +z) (5x - y +z)

Simplify: x(x-y)+y(y-z)+z(z-x)