If `A = {:[( 1,1,-2),(2,1,-3),(5,4,-9)]:},` find `|A|`

Expand |{:(1,2,3),(4,6,2),(5,9,4):}|

If A=[(2,-3,5),(3,2,-4),(1,1,-2)] , find A^(-1) . Using A^(-1) solve the system of equations. 2x-3y+5z=11 , 3x+2y-4z=-5 and x+y-2z=-3

If A' = [(2,5),(2,1),(-3,2)], B = [(2,-1,-2),(4,0,5)] and [(4,5,2),(0,1,4)] find A + B and B -C , show that A + (B -C) = (A + B) - C .

A={:[( 1,1,1),(1,2,-3),(2,-1,3)]:} Show that A^(3) - 6A^(2) +5A +11 I =O. Hence , find A^(-1)

Given A=[(1,1,1),(2,4,1),(2,3,1)], B=[(2,3),(3,4)]. Find P such that BPA= [(1,0,1),(0,1,0)]

Solve the following equations by matrix method. If A = [(2,-1,1),(-1,2,-1),(1,-1,2)] verify that A^(3) - 6A^(2) + 9A = 4 I = 0 and hence, find A^(-1) .

if A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying A A'=9I_(3,) find the value of |a|+|b|.

If A ={ 1,2,3,4,),B= {3,4,5,6} C ={ 7,8,9,10 } find A A nn (BuuC)