Home
Class 11
MATHS
Select the correct options from the give...

Select the correct options from the given alternatives:Given`A=[[1,3],[2,2]],I=[[1,0],[0,1]]`if `A-lambdaI`is a singular matrix then

A

`lambda=0`

B

`lambda^2-3lambda-4=0`

C

`lambda^2+3-4=0`

D

`lambda^2-3lambda-6=0`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Select the correct options from the given alternatives:If A=[[1,2,2],[2,1,-2],[a,2,b]] is a matrix satisfying the equation A.A^T=9I ,where I is the identity matrix of order 3,then the paired (a,b) is equal to

Select the correct optons from the given alternatives:If A=[[-2,1],[0,3]] and f(x)=2x^2-3x ,then f(A)=

Select the correct optons from the given alternatives:If A+B=[[7,4],[8,9]] and A-B=[[1,2],[0,3]] then the value of A is

Select the correct options from the given alternatives.If |(6i,-3i,1),(4,3i,-1),(20,3,i)|=x+iy then

Select the correct option from the given alternatives. The matrix [[0,-5,8],[5,0,12],[-8,-12,0]] is a i] diagonal matrix ii] symmetric matrix iii] scalar matrix iv] skew symmetric matrix

Select the correct option from the given alternatives. The inverse of A if A = [[0,1,0],[1,0,0],[0,0,1]] is i]1 ii]A iii]A' iv]− 1

Select the correct option from the given alternatives. Let A = [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] , if abs(A^2) = 25 , then abs(alpha) = i] frac{1}{5} ii] 5 iii] 5^2 iv] 1

Select the correct option from the given alternatives: If A = [[3,-3,4],[2,-3,4],[0,-1,1]] then A^-1 = i] A ii] A^2 iii] A^3 iv] A^4

Select the correct option from the given alternatives. If A = [[3,2],[1,4]] then A(adjA) = i] [[10,0],[0,10]] ii] [[0,10],[10,0]] iii] [[10,1],[1,10]] iv] [[1,0],[0,1]]