Home
Class 11
MATHS
If A=[[i,2i],[-3,2]]and B=[[2i,i],[2,-3]...

If `A=[[i,2i],[-3,2]]`and `B=[[2i,i],[2,-3]]`,where`sqrt-1=(i)`find `A+B`and `A-B`.Show that A+B is a singular.A-B a singular? Justify your answer.

Text Solution

Verified by Experts

The correct Answer is:
A − B is singular
Promotional Banner

Similar Questions

Explore conceptually related problems

Answer the following questions.If A=[[1,2],[3,2],[-1,0]] and B=[[,1,3,2],[4,-1,-3]] ,show that AB is singular matrix.

If A=[[5,4],[-2,3]] and B=[[-1,3],[4,-1]] ,then find C^T such that 3A-2B+C=I ,where I is the unit matrix of order 2.

If A=[[1,-2],[5,6]],B=[[3,-1],[3,7]] ,Find AB-2I ,where I is unit martrix of order 2.

Show that (sqrt(3)/2 + i/2)^3 = i

If A=[[4,3,2],[-1,2,0]],B=[[1,2],[-1,0],[1,-2]] show that matrix AB is non singular.

If A=[[1,-2],[5,3]],B=[[1,-3],[4,-7]] ,then find the matrix A-2B+6I , where I is the unit matrix of order 2.

Answer the following questions.If A=[[1,2,3],[2,4,6],[1,2,3]] and B=[[1,-1,1],[-3,2,-1],[-2,1,0]] ,show that AB and BA are both singular matrices.

Find a and b if: a - b + (a + b)i = a + 5i