If `A = ({:(5, 5), (0, 0):})({:(0, 0), (5, 5):}) " and " A^(n) = ({:(5^(200), 5^(200)), (0, 0):})`, then find n.

If A =[{:(2,0,0),(0,3,0),(0,0,5):}] , prove that, A^(2)=[{:(2^(2),0,0),(0,3^(2),0),(0,0,5^(2)):}] , hence by induction method show that, A^(n)=[{:(2^(n),0,0),(0,3^(n),0),(0,0,5^(n)):}]

If A = ({:(5, 5x, x ),(0, x , 5x),(0, 0, 5):}) and |A^(2)| = 25 , then |x| is equal to

If A = ((5, 5x, x), (0, x, 5x), (0, 0, 5)) and |A^(2)| = 25 , then |x| is equal to

|{:(5,-3,0),(-3,5,0),(0,0,2):}| =

If A=({:(5,5x,x),(0,x,5x),(0,0,5):}) and |A^2|=25 , then |x| is equal to

The matrix A = A = {:[(0,0,5),(0,5,0),(5,0,0)]:} is a :

If M=[{:(,0),(,1):}] and N=[{:(,1),(,0):}] show that 3M+5N=[{:(,5),(,3):}]

Consider a loop ABCDEFA. With coordinates A (0, 0, 0), B(5, 0, 0), C(5, 5, 0), D(0, 5, 0) E(0, 5, 5) and F(0, 0, 5). Find magnetic flux through loop due to magnetic field vecB = 3 hati+4 hatk