Home
Class 12
MATHS
If A=[{:(3,-4),(1,-1):}] then show that ...

If `A=[{:(3,-4),(1,-1):}]` then show that `A^(k)=[{:(1+2k,-4k),(k,1-2k):}],k epsilon N`

Answer

Step by step text solution for If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}],k epsilon N by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Very Short Answer Type Questions)|14 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Short Answer Type Questions)|8 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part II (Multiplication of Matrices (Matrix Multiplecation) Very Answer Type Questions |11 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(1,0),(-1,7):}] , thenfind k such that A^(2)-8A+kI=O .

If A = [(3,-2),(4,-2)] and I = [(1,0),(1,0)] , then find k , so that A^(2) = kA - 2I

Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that AB=BA . From an equation in k and show that it reduces to 2k^(2)+17k-12=0

If sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2) then show that dy/dx = {x sqrt(1-y^4)}/{y sqrt(1-x^4)}

If [[1,3],[4,5]]=[[7,11],[k,23]] then write the value of k.

If [[2,4],[k,6]] = 0 , what is the value of k ?

Find the value of k if the points (k+1,1),(2k+1,3) and (2k+2,2k) are collinear.

If [[a_(1),b_(1)],[c_(1),d_(1)]] = k[[a_(1),c_(1)],[b_(1),d_(1)]] then what is the value of k ?

Find the value of k, if the points (k+1,1) (2k+1,3) and (2k+2,2k) are collinear.

For what value of k lines (x + 2)/(-k) = (y - 3)/(2) = (z + 4)/(k) and (x - 4)/(5) = (y - 3)/(k) = (z + 1)/(2) are perpendicular to each other?

Home
Profile