Let `A=[-3-7-5 2 4 3 1 2 2]&B=[a b1]` If AB is a scalar multiple of B, then `4a+7b+5=0` (b) `a+b+2=0` `b-a=4` (d) `a+3b=0`

Let A=[{:(-5,-8,-7),(3,5,4),(2,3,3):}] and B=[{:(x),(y),(1):}] . If AB is a scalar multiple of B , then the value of x+y is

If the arithmetic mean of 0, 5, 4, 3 is a , that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c , then the relation between a , b and c is a=b=c (b) a : b : c=3:2:4 (c) 4a=5b=c (d) a+b+c=12

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

If 2x-3y=7 and (a+b)x-(a+b-3)y=4a+b represent coincident lines,then a and b satisfy the equation a+5b=0 (b) 5a+b=0 (c) a-5b=0 (d) 5a-b=0

Let A={:[(2,3,5),(1,0,2),(3,4,5)]:}andA+B-4I=0 , then B is equal to

If a = 2 and b = 5, the value of the expression 2a-[3a+{4b-(2a-b)+5a}-7b] is :

If a=cos3 and b=sin8 then 1)a>0,b>0 2) ab b 4) ab>0

If A=[[ 1 ,4 , 7 ] , [2 , 5 , 8 ]] and B=[[-3, 4 , 0 ],[ 4 ,-2 , -1 ]] then show that ( A + B )^T = A^T + B^T

Let a, b, c and d be non-zero numbers. If the point of intersection of the lines 4a x+""2a y+c=""0 and 5b x+""2b y+d=""0 lies in the fourth quadrant and is equidistant from the two axes then (1) 2b c-3a d=""0 (2) 2b c+""3a d=""0 (3) 3b c-2a d=""0 (4) 3b c+""2a d=""0

Simplify each of the following: -5(a+b)+2(2a-b)+4a-7 -3(a+b)+4(2a-3b)-(2a-b)