Find `x ,\ y ,\ z ,\ t` if `2[(x, z ),(y ,t)]+3[(1,-1),( 0, 2)]=3[(3, 5),( 4 ,6)]` .

Solve the equation for x, y, z and t, if 2[x, z , y, t]+3[1, -1 , 0 , 2]=3[3, 5, 4, 6]

Solve the equation for x, y, z and t, if 2[[x ,z ],[y ,t]]+3[[1,-1 ],[0 ,2]]=3[[3 ,5 ],[4 ,6]]

Find x ,\ y ,\ z\ a n d\ t , if 3[x y z t]=[x6-1 2t]+[4x+y z+t3]

Given [{:(,x,y+2),(,3,z-1):}] =[{:(,3,1),(,3,2):}] find x,y and z.

Find A=[(0,2y,z),(x,y,-z),(x,-y,z)] satisfies A^(T) = A^(-1)

If {:[(x-2,y-3),(z+1,t-4)]:}={:[(1,4),(2,3)]:} then find x,y,z and t.

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)

For x, y, z, t in R, sin^(-1) x + cos^(-1) y + sec^(-1) z ge t^(2) - sqrt(2pi t) + 3pi The value of x + y + z is equal to

Find x ,\ y satisfying the matrix equations: [x-y 2 -2 4x6]+[3-2 2 1 0-1]=[6 0 0 5 2x+y5] (ii) [x y+2z-3]+[y4 5]=[4 9 12]

If matrix A=[(0, 2,y),( z, x, y),(-z, x-y, z)] satisfies A^T=A^(-1) , find x ,\ y ,\ zdot