Home
Class 12
MATHS
If A={:[(3,-5),(-4,2)], find A^(2)-5A-14...

If `A={:[(3,-5),(-4,2)],` find `A^(2)-5A-14I.`

Text Solution

Verified by Experts

The correct Answer is:
`{:[(0,0),(0,0)]:}`
Promotional Banner

Similar Questions

Explore conceptually related problems

If A = [[3,-5],[-4,2]] ,show that A^2 -5A-14I =0.

If A=[(3,-5),(-4,2)] , then the value of A^(2)-5A is equal to -

If A= {:[( 3,1),( -1,2) ]:} Show that A^(2) -5A +7I =O.Hence find A^(-1)

A = [[3,-5],[-4,2]] , verify that A^2 -5A-14I=0, hence find A^(-1)

If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)] , then find AB, BA. Show that AB ne BA .

If A={:((1,4),(2,3)), show that, A^(2)-4A-5I=0 where I={:((1,0),(0,1))and 0={:((0,0),(0,0)).

If A={:[(1,2,5),(-1,3,-4)]:} and B={:[(3,-2,1),(0,-1,4),(5,2,-1)]:}, show that, (AB)^(T)=B^(T)A^(T) where A^(T) is the transpose of A.

If A= [(1,1,3),(5,2,6),(-2,-1,-3)] then find A^(14)+3A-2I

If A=({:(2,-1),(1,3):}) , then show that A^2-5A+7I_2=0 : hence find A^(-1) .

If A=({:(1,4),(2,3):}) , then show that A^(2)-4A-5I=0 ,where I=({:(1,0),(0,1):}) " and " O=({:(0,0),(0,0):}) .