Home
Class 12
MATHS
if A=[[2,-3],[-4,1]] then (3A^2+12A)=?...

if `A=[[2,-3],[-4,1]]` then `(3A^2+12A)=?`

A

`[[72,-63],[-84,51]]`

B

`[[72,-84],[-63,51]]`

C

`[[51,63],[84,72]]`

D

`[[51,84],[63,72]]`

Text Solution

Verified by Experts

The correct Answer is:
C

`because A^(2) = [[2,-3],[-4,1]][[2, -3],[-4, 1]]= [[16,-9],[-12,13]]`
Promotional Banner

Similar Questions

Explore conceptually related problems

If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then

A = {1,{2,3}4} then {2,3} subA

For the matrix A=[{:(2,3),(1,2):}] , show that A^2-4A+I_2=0 . Hence, find A^(-1)

If A = [{:(3,1),(-1,2):}] and A^(2) - 5A= kI then k=.........

If A = [{:(1,2),(4,2):}] then show that [2A] = 4[A]

If A=[{:(1,2),(4,1):}] , find A^(2)+2A+7I .

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

Let A=[{:(2,-1),(4,2):}]B=[{:(4,3),(-2,1):}]andC=[{:(-2,-3),(-1,2):]] Find the following (1) 2B+3C,(2)A+(B+C),(3)(2A-3B)-Cand4)(B+C)-2A.