If `((a)/(3)+1,b-(2)/(3))=((5)/(3),(1)/(3))` ,find the values of `a` and `b`

If (a/3-1,\ b-2/3)=(5/3,1/3) , find the values of a\ a n d\ bdot

If [(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)] , find the value of bdot

Matrix A=[(0, 2b,-2) ,(3 ,1, 3), (3a,3,-1)] is given to be symmetric, find the values of a and b .

If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in the ratio 3 : 1 , then find the values of a and b.

If [{:(,a,3),(,4,1):}]+[{:(,2,b),(,1,-2):}]-[{:(,1,1),(,-2,c):}] =[{:(,5,0),(,7,3):}] find the values of a,b and c.

If {[(5,1,4),(7,6,2),(1,3,5)][(1,6,-7),(6,2,4),(-7,4,3)][(5,7,1),(1,6,3),(4,2,5)]}^(2020)=[(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))] , then the value of 2|a_(2)-b_(1)|+3|a_(3)-c_(1)|+4|b_(3)-c_(2)| is equal to

If tan(A+B)=sqrt(3)andsin(A-B)=(1)/(2) ,then find the value of tan (2A-3B) .

If (3)/(2) log a + (2)/(3) log b - 1 = 0 , find the value of a^(9).b^(4) .

If a, b gt 0 such that a^(2)+b^(2)=2^(5//3).3^(1//3) then find the maximum value of term independent of x in the expansion of (a/2) x^(1//6)+b/3 x^((-1//3))^(9) .