Given the matrix `A=[x3 2 1y4 2 2z]` . If `x y z=60a n d8x+4y+3z=20 ,t e h nA(a d jA)` is equal to `[64 0 0 0 64 0 0 0 64]` b. `[88 0 0 0 88 0 0 0 88]` c. `[68 0 0 0 68 0 0 0 68]` d. `[34 0 0 0 34 0 0 0 34]`

Given the matrix A=[(x,3,2),(1,y,4),(2,2z)]. If xyz=60 and 8x+4y+3z=20, then A(adjA) is equal to (a) [(6,4,0,0),(0,6,4,0),(0,0,6,4)] (b) [(8,8,0,0),(0,8,8,0),(0,0,8,8)] (c) [(6,8,0,0),(0,6,8,0),(0,0,6,8)] (d) [(3,4,0,0),(0,3,4,0),(0,0,3,4)]

0.4 x + 0.3 y = 1.7 , 0.7 x - 0.2 y = 0.8

? = 0.8 + 0.88 + 0.888 + 0.8888 + 0.88888

If [(1,4),(2,0)] = [(x,y^(2)),(z,0)] y lt 0 then x-y+z is equal to

If x ,\ y ,\ z are non-zero real numbers, then the inverse of the matrix A=[x0 0 0y0 0 0z] , is [x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (b) x y z[x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (c) 1/(x y z)[x0 0 0y0 0 0z] (d) 1/(x y z)[1 0 0 0 1 0 0 0 1]

If [1 4 2 0]=[x y^2z0],y<0t h e nx-y+z= 5 (b) 2 (c) 1 (d) -3

0.2x + 0.3y = 1.3,0.4x + 0.5y = 2.3

Given that 10^0.48=x , 10^(0.70)=y and x^z=y^2, then the value of z is close to a. 1. 45 b. 1. 88 c. 3. 7 d. 2. 9

The inverse of the matrix [[x, 0, 0], [0, y, 0], [0, 0, z]] is

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them : (a) 7x + 5y + 6z + 30 = 0 and 3x - y - 10 z + 4 = 0 (b) 2x + y + 3z -2 = 0 and x - 2y + 5 = 0 (c) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z - 1 = 0 (d) 2x - y + 4z + 5 = 0 and 2x - y + 3z + 3 = 0 (e) 4 x + 8y + z = 0 and y + z - 4 = 0