`[(1,3),(3,10)]^-1=` (A) `[(10,3),(3,1)]` (B) `[(10,-3),(-3,1)]` (C) `[(1,3),(3,10)]` (D) `[(-1,-3),(-3,-10)]`

The matrix X in the equation AX=B, such that A= [(1,3),(0,1)] and B= [(1,-1),(0,1)] is given by (A) [(1,0),(-3,1)] (B) [(1,-4),0,1)] (C) [(1,-3),(0,1)] (D) [(0,-1),(-3,1)]

If A=[(2,2),(-3,2)] and B=[(0,-1),(1,0)] then (B^-1A^-1)^-1= (A) [(2,-2),(2,3)] (B) [(3,-2),(2,3)] (C) 1/10 [ (2,2),(-2,3)] (D) 1/10 [(3,-2),(-2,2)]

if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

If A'=[(-2,3),(1,3)] and B=[(-1,0),(1,2)], find [A+2B]'.

The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and (x+3)/(-36)=(y-3)/2=(z-6)/4 is (A) (21 ,5/3,(10)/3) (B) (2,10 ,4) (C) (-3,3,6) (D) (5,7,-2)

The coordinates of the foot of the perpendicular from the point (2,3) on the line -y+3x+4=0 are given by (a) ((37)/(10),-1/(10)) (b) (-1/(10),(37)/(10)) (c) ((10)/(37),-10) (d) (2/3,-1/3)

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}] , verfity (i) A(B+C)=AB+AC.

Which one of the following is not equal to ((100)/9)^(-3/2) ? (a)\ (9/(100))^(3/2) (b) 1/(((100)/9)^(3/2)) (c)\ 3/(10)xx3/(10)xx3/(10) (d) sqrt((100)/9\ x(100)/9\ x(100)/9\ )

The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3sqrt(3)+4)/(10) (c) (4sqrt(3)-3)/(10) (d) (4sqrt(3)+1)/(10)