If `A=|[1,2],[3,2]|` ,then show that `|2A|=4|A|`

" 2.If "A=|[1,2],[4,2]|," then show that "|2A|=2|A|

Evalute the determinants in queations 1 and 2 : If A=[{:(1,2),(4,2):}] , then show that |2A|=4|A|.

If A=[[1,24,2]], then show that |2A|=4|A|

If A=[[2,4],[-5,-1]] show that: |3A|=9|A|

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

if A=[{:(2,-3),(1,4):}],B=[{:(-1,0),(1,2):}], C=[{:(3,1),(1,2):}] , then show that A (BC)=(AB)c.

" .If "P=[[2,-2,-4],[-1,3,4],[1,-2,-3]]" then show that,"P^(2)=P

If A+I={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40I=0

If A=[(4,2),(-1,1)] , show that (A-2 I) A-3 I) =0

If A=|{:(1,2,2),(2,1,2),(2,2,1):}| , then show that A^(2)-4A-5I_(3)=0 . Hemce find A^(-1) .