Home
Class 11
MATHS
if A = [(I,0)(0,-i)] then show that A^(2...

if `A = [(I,0)(0,-i)]` then show that `A^(2) = -1 (i^(2)=-1)`.

Text Solution

Verified by Experts

The correct Answer is:
`A^(2)= -I`
Promotional Banner

Topper's Solved these Questions

  • MARCH - 2016 (ANDHRA PRADESH)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section -B (Short answer type questions)|6 Videos
  • MARCH - 2016 (ANDHRA PRADESH)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section- C(Long answer type questions)|7 Videos
  • LOCUS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -1(A))|17 Videos
  • MARCH - 2016 (TELANGANA)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section -C (Long answer type quesitons)|7 Videos

Similar Questions

Explore conceptually related problems

If A=[(3,1),(-1,2)] , show that A^(2)-5A+7I=0 .

If A=[(i,0),(0,i)] then find A^(2) .

If I = [(1,0),(0,1)] and E = [(0,1),(0,0)] then show that (aI + bE)^(3) = a^(3)I+3a^(2)bE where I is identify matrix of order 2.

If A = [(1,2,2),(2,1,2),(2,2,1)] then show that A^(2)-4A-5I = O .

If A=[(0,-i),(-i,0)] then A^(2)=

IF A=[[i,0],[0,-1]:}] then show that A^2=[[-1,0],[0,1]] .

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

If A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-3I=O , where I is unit matrix of order 3

If A=[(i,0),(0,i)] , find A^(2) .