Find the values of a and b for which the following holds: `[[4,2],[3,-1]][[a],[b]]=[[-4],[2]]`

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 following equations: [(2a+b ,a-2b),(5c-d,4c+3d)]=[(4,-3),( 11, 24)]

Find a matrix X such tht 3A-2B+X=0, where A=[[4,2],[1,3]] , B= [[-2,1], [3,2]]

Simplify and find the value of the following expression when a=3 and b=1: 4(a^2+b^2+2a b)-[4(a^2+b^2-2a b)-{-b^3+4(a-3)}]

Find the value of the products: (4a^2+3b)(4a^2+3b)a t\ a=1,\ b=2.

Find the value of 2a^(3)-b^(4)+3a^(2)b^(3) when a =3 , b=-1 .

If A=[[1, 2], [3,-1]] and B=[[1,-4],[ 3,-2]] , find |A B| .

Find the value of : 3abc-2a^2+4b^3+ac given that a=-2,b=3 and c=-1

Find the value of lambda . If the points A(-1,3,2), B(-4,2,-2) and C(5,lambda,10) are collinear.

Find the value of the following expressions for a=3, b=2. (i) a+b (ii) 7a-4b (iii) a^2+2ab+b^2 (iv) a^3-b^2