`| [1,2,3], [2,3,4], [3,4,5]|` is equal to

The plane containing the line (x-3)/(2)=(y-b)/(4)=(z-3)/(3) passes through the points (a, 1, 2), (2, 1, 4), (2, 3, 5) , then 3a+5b is equal to

Find the rank of the matrix A=[(1,2,3),(2,3,4),(3,4,5)] .

The sets {1,2,3,4} and {3,4,5,6} are equal

15. For matrix A=[(2,3),(-4,5)] , (adjA)^T is equal to (A) [(5,-3),(4,2)] (B) [(5,4),(-3,2)] (C) [(5,3),(4,-2)] (D) [(5,-3),(-4,2)]

If Z_r=cos((2rpi)/5)+isin((2rpi)/5),r=0,1,2,3,4,... then z_1z_2z_3z_4z_5 is equal to

Let A= [[2,4],[3,2]], B=[[1,3],[-2,5]], C=[[-2,5],[3,4]] find 3A-C

If A=[[2,3,-4],[1,0,6],[-2,1,5]],B=[[5,1,2],[6,-1,4],[5,3,-4]] , find 2A-3B .

If A={:[(1,2,3),(-2,5,7)]:}and2A-3B={:[(4,5,-9),(1,2,3)]:} then B is equal to

{:[(7,1,2),(9,2,1)]:}{:[(3),(4),(5)]:}+2{:[(4),(2)]:} is equal to

If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix A and |A| = 4 , then alpha is equal to