Find the values of a, b, c and d from the following equation : `[[2a+b,a-2b],[5c-d,4c+3d]]=[[4,-3],[11,24]]`.

Find the values of a, b, c and d from the equation : [[a-b,2a+c],[2a-b,3c+d]]=[[-1,5],[0,13]] and write correct answer from the following:

Find the vlaues of a,b,c and d if 3[(a,b),(c,d)] = [(a,6),(-1,2d)] + [(4,a+b), (c+d, 3)]

If a, b, c and d are four coplanr points, then prove that [a b c]=[b c d]+[a b d]+[c a d] .

Evaluate the following [ab][ (c ),(d)]+[a b c d] {:[(a),(b),(c ),(d)]

Find the coefficient of a^(2)b^(3)c^(4)d in the expansion of (a-b-c+d)^(10) .

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^2-2cx-5d=0 . If c and d are the roots of the quadratic equation x^2-2ax-5b=0 then find the numerical value of a+b+c+d .