IF A=[{:(3,0,0),(0,3,0),(0,0,3):}] , the...

IF `A=[{:(3,0,0),(0,3,0),(0,0,3):}]` , then find `A^4`.

Topper's Solved these Questions

MATRICES
SRISIRI PUBLICATION|Exercise II VSAQ,SAQ,LAQ|13 Videos
MATRICES
SRISIRI PUBLICATION|Exercise MISCELLANEOUS|29 Videos
MATRICES
SRISIRI PUBLICATION|Exercise SAPAR PAPER QUESTIONS|32 Videos
MATHEMATICAL INDUCTION
SRISIRI PUBLICATION|Exercise LONG ANSWER QUESTIONS|19 Videos
PAIR OF LINES
SRISIRI PUBLICATION|Exercise MISCELLANEOUS|2 Videos

Similar Questions

Explore conceptually related problems

If A=|{:(3,0,0),(0,3,0),(0,0,3):}| , then find A^(4)

If A=[(3,0,0),(0,3,0),(0,0,3)] then A^(5)=

|{:(5,-3,0),(-3,5,0),(0,0,2):}| =

IF A=[{:(0,1,2),(2,3,4),(4,5,6):}],B=[{:(1,-2,0),(0,1,-1),(-1,0,3):}] then find A-B and 4B-3A.

IF A=[{:(1,5,3),(2,4,0),(3,-1,-5):}],B=[{:(2,-1,0),(0,-2,5),(1,2,0):}] then find 3A-4B'.

A={:[(k//2,0,0),(0,l//3,0),(0,0,m//4)]:}and A^(-1)={:[(1//2,0,0),(0,1//3,0),(0,0,1//4)]:} , then k+l+m=

If A=[(0,1,2),(2,3,4),(4,5,-6)]" and "B=[(-1,2,3),(0,1,0),(0,0,-1)] then find B-A and 4A-5B

If A = [(0,1,2),(2,3,4),(4,5,-6)], B=[(-1,2,3),(0,1,0),(0,0,-1)] then find B-A and 4A - 5B .

The matrix [(3,0,0),(0,2,0),(0,0,1)] is

SRISIRI PUBLICATION-MATRICES-SHORT ANSWER TYPE QUESTIONS

IF A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-31=O
Text Solution
|
IF A=[{:(3,0,0),(0,3,0),(0,0,3):}] , then find A^4.
Text Solution
|
If I = [(1,0),(0,1)] and E = [(0,1),(0,0)] then show that (aI + bE)^(3...
Text Solution
|
IF theta-phi=pi/2 , then show that [{:(cos^2theta,costhetasintheta),(c...
Text Solution
|
Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)
Text Solution
|
Show that |{:(bc,b-c,1),(ca,c+a,1),(ab,a+b,1):}|=(a-b)(b-c)(c-a)
Text Solution
|
Show that |(b+c,c+a,a+b),(a+b,b+c,c+a)(a,b,c)|=a^(3)+b^(3)+c^(3)-3abc.
Text Solution
|
Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz
Text Solution
|
IF |{:(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3):}|=0 , then show that ...
Text Solution
|
Without expanding the determinant , prove that |{:(a,a^2,bc),(b,b^2,ca...
Text Solution
|
Without expanding the determinant , prove that |{:(ax,by,cz),(x^2,y^2,...
Text Solution
|
Without expanding the determinant, prove that |{:(1,bc,b+c),(1,ca,c+a)...
Text Solution
|
Show that |{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0
Text Solution
|
Show that |{:(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab):}|=0
Text Solution
|
Let A and B be invertible matrices then prove that (AB)^-1=B^-1A^-1.
Text Solution
|
Find the adjoint and the inverse of the matrix A=[{:(1,3,3),(1,4,3),(1...
Text Solution
|
Show that the matrix A=[{:(1,2,1),(3,2,3),(1,1,2):}] is non-singular a...
Text Solution
|
IF abc ne 0, find the inverse of [{:(a,0,0),(0,b,0),(0,0,c):}]
Text Solution
|
IF A=[{:(-1,-2,-2),(2,1,-2),(2,-2,1):}] then show that adj A=3A^T. Als...
Text Solution
|
IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] then show that A^-1=A^3.
Text Solution
|